64131004 has 72 divisors (see below), whose sum is σ = 145650960. Its totient is φ = 24482304.

The previous prime is 64130959. The next prime is 64131037. The reversal of 64131004 is 40013146.

It is a happy number.

It is a super-2 number, since 2×64131004² = 8225571348096032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62802 + ... + 63814.

It is an arithmetic number, because the mean of its divisors is an integer number (2022930).

Almost surely, 2^64131004 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 64131004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72825480).

64131004 is an abundant number, since it is smaller than the sum of its proper divisors (81519956).

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

64131004 is a wasteful number, since it uses less digits than its factorization.

64131004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 64131004 is about 8008.1835643297. The cubic root of 64131004 is about 400.2727389913.

The spelling of 64131004 in words is "sixty-four million, one hundred thirty-one thousand, four".