1032394752 has 144 divisors (see below), whose sum is σ = 3023748000. Its totient is φ = 339296256.

The previous prime is 1032394739. The next prime is 1032394763. The reversal of 1032394752 is 2574932301.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1455774 + ... + 1456482.

It is an arithmetic number, because the mean of its divisors is an integer number (20998250).

Almost surely, 2^1032394752 is an apocalyptic number.

1032394752 is a gapful number since it is divisible by the number (12) 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 1032394752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511874000).

1032394752 is an abundant number, since it is smaller than the sum of its proper divisors (1991353248).

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

1032394752 is an equidigital number, since it uses as much as digits as its factorization.

1032394752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1032394752 is about 32130.9002674995. The cubic root of 1032394752 is about 1010.6837026791.

The spelling of 1032394752 in words is "one billion, thirty-two million, three hundred ninety-four thousand, seven hundred fifty-two".