1032097920 has 256 divisors, whose sum is σ = 3853543680. Its totient is φ = 230031360.

The previous prime is 1032097903. The next prime is 1032097921. The reversal of 1032097920 is 297902301.

It is a super-2 number, since 2×1032097920² = 2130452232936652800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1032097921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550104 + ... + 551976.

It is an arithmetic number, because the mean of its divisors is an integer number (15052905).

Almost surely, 2^1032097920 is an apocalyptic number.

1032097920 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 1032097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926771840).

1032097920 is an abundant number, since it is smaller than the sum of its proper divisors (2821445760).

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

1032097920 is a wasteful number, since it uses less digits than its factorization.

1032097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 1032097920 is about 32126.2808304976. The cubic root of 1032097920 is about 1010.5868301663.

The spelling of 1032097920 in words is "one billion, thirty-two million, ninety-seven thousand, nine hundred twenty".