31034664 has 80 divisors (see below), whose sum is σ = 88862400. Its totient is φ = 10114848.

The previous prime is 31034651. The next prime is 31034671. The reversal of 31034664 is 46643013.

31034664 is a `hidden beast` number, since 310 + 346 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29947 + ... + 30965.

It is an arithmetic number, because the mean of its divisors is an integer number (1110780).

Almost surely, 2^31034664 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 31034664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44431200).

31034664 is an abundant number, since it is smaller than the sum of its proper divisors (57827736).

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

31034664 is a wasteful number, since it uses less digits than its factorization.

31034664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 31034664 is about 5570.8764121994. The cubic root of 31034664 is about 314.2551106761.

Adding to 31034664 its reverse (46643013), we get a palindrome (77677677).

The spelling of 31034664 in words is "thirty-one million, thirty-four thousand, six hundred sixty-four".