1032738120 has 128 divisors (see below), whose sum is σ = 3457728000. Its totient is φ = 274176000.

The previous prime is 1032738101. The next prime is 1032738121. The reversal of 1032738120 is 218372301.

1032738120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1032738120² = 2133096049002268800, 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 (1032738121) 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, 256120 + ... + 260120.

It is an arithmetic number, because the mean of its divisors is an integer number (27013500).

Almost surely, 2^1032738120 is an apocalyptic number.

1032738120 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 1032738120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728864000).

1032738120 is an abundant number, since it is smaller than the sum of its proper divisors (2424989880).

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

1032738120 is a wasteful number, since it uses less digits than its factorization.

1032738120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4250 counting only the distinct ones).

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

The square root of 1032738120 is about 32136.2430909402. The cubic root of 1032738120 is about 1010.7957392730.

The spelling of 1032738120 in words is "one billion, thirty-two million, seven hundred thirty-eight thousand, one hundred twenty".