31042064 has 40 divisors (see below), whose sum is σ = 62775000. Its totient is φ = 14852096.

The previous prime is 31042061. The next prime is 31042073. The reversal of 31042064 is 46024013.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1795600 + 29246464 = 1340^2 + 5408^2 .

It is not an unprimeable number, because it can be changed into a prime (31042061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68912 + ... + 69360.

It is an arithmetic number, because the mean of its divisors is an integer number (1569375).

Almost surely, 2^31042064 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 31042064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31387500).

31042064 is an abundant number, since it is smaller than the sum of its proper divisors (31732936).

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

31042064 is a wasteful number, since it uses less digits than its factorization.

31042064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 31042064 is about 5571.5405409994. The cubic root of 31042064 is about 314.2800860070.

Adding to 31042064 its reverse (46024013), we get a palindrome (77066077).

The spelling of 31042064 in words is "thirty-one million, forty-two thousand, sixty-four".