332864640 has 160 divisors (see below), whose sum is σ = 1188904860. Its totient is φ = 88750080.

The previous prime is 332864593. The next prime is 332864657. The reversal of 332864640 is 46468233.

It is a happy number.

332864640 is a `hidden beast` number, since 3 + 3 + 2 + 8 + 6 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 321413184 + 11451456 = 17928^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×332864640² = 221597737124659200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 332864595 and 332864604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48630 + ... + 55050.

Almost surely, 2^332864640 is an apocalyptic number.

332864640 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 332864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594452430).

332864640 is an abundant number, since it is smaller than the sum of its proper divisors (856040220).

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

332864640 is an equidigital number, since it uses as much as digits as its factorization.

332864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 332864640 is about 18244.5783727660. The cubic root of 332864640 is about 693.0361481116.

The spelling of 332864640 in words is "three hundred thirty-two million, eight hundred sixty-four thousand, six hundred forty".