332172624 has 160 divisors (see below), whose sum is σ = 1043933184. Its totient is φ = 88957440.

The previous prime is 332172613. The next prime is 332172661. The reversal of 332172624 is 426271233.

It is a super-2 number, since 2×332172624² = 220677304270090752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 332172591 and 332172600.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 409179 + ... + 409989.

Almost surely, 2^332172624 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 332172624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521966592).

332172624 is an abundant number, since it is smaller than the sum of its proper divisors (711760560).

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

332172624 is a wasteful number, since it uses less digits than its factorization.

332172624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 899 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 332172624 is about 18225.6035291016. The cubic root of 332172624 is about 692.5555475085. Note that the first 4 decimals are identical.

The spelling of 332172624 in words is "three hundred thirty-two million, one hundred seventy-two thousand, six hundred twenty-four".