332164992 has 128 divisors (see below), whose sum is σ = 947376000. Its totient is φ = 102795264.

The previous prime is 332164991. The next prime is 332165003. The reversal of 332164992 is 299461233.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×332164992² = 220667163820720128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332164992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332164991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386259 + ... + 387117.

It is an arithmetic number, because the mean of its divisors is an integer number (7401375).

Almost surely, 2^332164992 is an apocalyptic number.

332164992 is a gapful number since it is divisible by the number (32) 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 332164992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473688000).

332164992 is an abundant number, since it is smaller than the sum of its proper divisors (615211008).

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

332164992 is a wasteful number, since it uses less digits than its factorization.

332164992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 936 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 332164992 is about 18225.3941521164. The cubic root of 332164992 is about 692.5502434146.

The spelling of 332164992 in words is "three hundred thirty-two million, one hundred sixty-four thousand, nine hundred ninety-two".