1072114640 has 80 divisors (see below), whose sum is σ = 2626760448. Its totient is φ = 406146048.

The previous prime is 1072114621. The next prime is 1072114643. The reversal of 1072114640 is 464112701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1072114640² = 2298859602604659200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072114643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186692 + ... + 192348.

Almost surely, 2^1072114640 is an apocalyptic number.

1072114640 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 1072114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313380224).

1072114640 is an abundant number, since it is smaller than the sum of its proper divisors (1554645808).

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

1072114640 is a wasteful number, since it uses less digits than its factorization.

1072114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796 (or 5790 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1072114640 is about 32743.1617288252. The cubic root of 1072114640 is about 1023.4824706219.

The spelling of 1072114640 in words is "one billion, seventy-two million, one hundred fourteen thousand, six hundred forty".