64013000 has 32 divisors (see below), whose sum is σ = 149792760. Its totient is φ = 25604800.

The previous prime is 64012981. The next prime is 64013011. The reversal of 64013000 is 31046.

It can be written as a sum of positive squares in 4 ways, for example, as 42797764 + 21215236 = 6542^2 + 4606^2 .

It is an unprimeable number.

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, 31007 + ... + 33006.

Almost surely, 2^64013000 is an apocalyptic number.

It is an amenable number.

64013000 is an abundant number, since it is smaller than the sum of its proper divisors (85779760).

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

64013000 is a wasteful number, since it uses less digits than its factorization.

64013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64034 (or 64020 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 64013000 is about 8000.8124587444. The cubic root of 64013000 is about 400.0270814998.

Adding to 64013000 its reverse (31046), we get a palindrome (64044046).

The spelling of 64013000 in words is "sixty-four million, thirteen thousand".