1032329664 has 112 divisors (see below), whose sum is σ = 3047024640. Its totient is φ = 342731520.

The previous prime is 1032329633. The next prime is 1032329671. The reversal of 1032329664 is 4669232301.

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 15 ways as a sum of consecutive naturals, for example, 487969 + ... + 490079.

Almost surely, 2^1032329664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523512320).

1032329664 is an abundant number, since it is smaller than the sum of its proper divisors (2014694976).

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

1032329664 is a wasteful number, since it uses less digits than its factorization.

1032329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1032329664 is about 32129.8873947607. The cubic root of 1032329664 is about 1010.6624624951.

It can be divided in two parts, 103232 and 9664, that added together give a square (112896 = 336²).

The spelling of 1032329664 in words is "one billion, thirty-two million, three hundred twenty-nine thousand, six hundred sixty-four".