332787312 has 160 divisors (see below), whose sum is σ = 1122428160. Its totient is φ = 93070080.

The previous prime is 332787311. The next prime is 332787319. The reversal of 332787312 is 213787233.

332787312 is a `hidden beast` number, since 332 + 7 + 8 + 7 + 312 = 666.

It is a super-2 number, since 2×332787312² = 221494790056370688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332787311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59083 + ... + 64469.

It is an arithmetic number, because the mean of its divisors is an integer number (7015176).

Almost surely, 2^332787312 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 332787312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561214080).

332787312 is an abundant number, since it is smaller than the sum of its proper divisors (789640848).

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

332787312 is a wasteful number, since it uses less digits than its factorization.

332787312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5416 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 332787312 is about 18242.4590447670. The cubic root of 332787312 is about 692.9824773966.

The spelling of 332787312 in words is "three hundred thirty-two million, seven hundred eighty-seven thousand, three hundred twelve".