1072063080 has 512 divisors, whose sum is σ = 4180377600. Its totient is φ = 241920000.

The previous prime is 1072063079. The next prime is 1072063081. The reversal of 1072063080 is 803602701.

1072063080 is a `hidden beast` number, since 1 + 0 + 7 + 20 + 630 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1072063079) and next prime (1072063081).

It is a super-2 number, since 2×1072063080² = 2298638494998172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1072063081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15099445 + ... + 15099515.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800).

Almost surely, 2^1072063080 is an apocalyptic number.

1072063080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072063080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090188800).

1072063080 is an abundant number, since it is smaller than the sum of its proper divisors (3108314520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1072063080 is a wasteful number, since it uses less digits than its factorization.

1072063080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1072063080 is about 32742.3743793879. The cubic root of 1072063080 is about 1023.4660632962.

Adding to 1072063080 its reverse (803602701), we get a palindrome (1875665781).

The spelling of 1072063080 in words is "one billion, seventy-two million, sixty-three thousand, eighty".