331136640 has 128 divisors (see below), whose sum is σ = 1172836800. Its totient is φ = 88298496.

The previous prime is 331136629. The next prime is 331136671. The reversal of 331136640 is 46631133.

331136640 is a `hidden beast` number, since 3 + 3 + 1 + 13 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7699 + ... + 26861.

Almost surely, 2^331136640 is an apocalyptic number.

331136640 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 331136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586418400).

331136640 is an abundant number, since it is smaller than the sum of its proper divisors (841700160).

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

331136640 is a wasteful number, since it uses less digits than its factorization.

331136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19191 (or 19173 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 331136640 is about 18197.1602180120. The cubic root of 331136640 is about 691.8348141699.

Adding to 331136640 its reverse (46631133), we get a palindrome (377767773).

It can be divided in two parts, 331136 and 640, that added together give a 4-th power (331776 = 24⁴).

The spelling of 331136640 in words is "three hundred thirty-one million, one hundred thirty-six thousand, six hundred forty".