1032679164 has 96 divisors (see below), whose sum is σ = 2670796800. Its totient is φ = 307964160.

The previous prime is 1032679147. The next prime is 1032679201. The reversal of 1032679164 is 4619762301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3838822 + ... + 3839090.

It is an arithmetic number, because the mean of its divisors is an integer number (27820800).

Almost surely, 2^1032679164 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 1032679164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335398400).

1032679164 is an abundant number, since it is smaller than the sum of its proper divisors (1638117636).

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

1032679164 is a wasteful number, since it uses less digits than its factorization.

1032679164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 1032679164 is about 32135.3257957656. The cubic root of 1032679164 is about 1010.7765044491.

The spelling of 1032679164 in words is "one billion, thirty-two million, six hundred seventy-nine thousand, one hundred sixty-four".