1082607120 has 400 divisors, whose sum is σ = 4450786560. Its totient is φ = 238629888.

The previous prime is 1082607109. The next prime is 1082607121. The reversal of 1082607120 is 217062801.

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 (1082607121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1315029 + ... + 1315851.

Almost surely, 2^1082607120 is an apocalyptic number.

1082607120 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 1082607120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225393280).

1082607120 is an abundant number, since it is smaller than the sum of its proper divisors (3368179440).

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

1082607120 is a wasteful number, since it uses less digits than its factorization.

1082607120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1082607120 is about 32902.9956083029. The cubic root of 1082607120 is about 1026.8104809688.

Adding to 1082607120 its reverse (217062801), we get a palindrome (1299669921).

The spelling of 1082607120 in words is "one billion, eighty-two million, six hundred seven thousand, one hundred twenty".