64131400 has 24 divisors (see below), whose sum is σ = 149105970. Its totient is φ = 25652480.

The previous prime is 64131367. The next prime is 64131427. The reversal of 64131400 is 413146.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 44435556 + 19695844 = 6666^2 + 4438^2 .

It is a super-2 number, since 2×64131400² = 8225672931920000, which contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 160129 + ... + 160528.

Almost surely, 2^64131400 is an apocalyptic number.

It is an amenable number.

64131400 is an abundant number, since it is smaller than the sum of its proper divisors (84974570).

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

64131400 is a wasteful number, since it uses less digits than its factorization.

64131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320673 (or 320664 counting only the distinct ones).

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

The square root of 64131400 is about 8008.2082889995. The cubic root of 64131400 is about 400.2735628657.

Adding to 64131400 its reverse (413146), we get a palindrome (64544546).

It can be divided in two parts, 641 and 31400, that added together give a square (32041 = 179²).

The spelling of 64131400 in words is "sixty-four million, one hundred thirty-one thousand, four hundred".