332076960 has 288 divisors, whose sum is σ = 1203890688. Its totient is φ = 83220480.

The previous prime is 332076937. The next prime is 332076971. The reversal of 332076960 is 69670233.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×332076960² = 220550214725683200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1919434 + ... + 1919606.

It is an arithmetic number, because the mean of its divisors is an integer number (4180176).

Almost surely, 2^332076960 is an apocalyptic number.

332076960 is a gapful number since it is divisible by the number (30) 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 332076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601945344).

332076960 is an abundant number, since it is smaller than the sum of its proper divisors (871813728).

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

332076960 is a wasteful number, since it uses less digits than its factorization.

332076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 332076960 is about 18222.9789002786. The cubic root of 332076960 is about 692.4890569850.

The spelling of 332076960 in words is "three hundred thirty-two million, seventy-six thousand, nine hundred sixty".