331161600 has 504 divisors, whose sum is σ = 1389540528. Its totient is φ = 68812800.

The previous prime is 331161599. The next prime is 331161629. The reversal of 331161600 is 6161133.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30105595 + ... + 30105605.

Almost surely, 2^331161600 is an apocalyptic number.

331161600 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 331161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694770264).

331161600 is an abundant number, since it is smaller than the sum of its proper divisors (1058378928).

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

331161600 is a wasteful number, since it uses less digits than its factorization.

331161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 331161600 is about 18197.8460263846. The cubic root of 331161600 is about 691.8521964839.

It can be divided in two parts, 33116 and 1600, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 331161600 in words is "three hundred thirty-one million, one hundred sixty-one thousand, six hundred".