64536400 has 30 divisors (see below), whose sum is σ = 155049662. Its totient is φ = 25814400.

The previous prime is 64536391. The next prime is 64536463. The reversal of 64536400 is 463546.

It can be written as a sum of positive squares in 3 ways, for example, as 87616 + 64448784 = 296^2 + 8028^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80271 + ... + 81070.

Almost surely, 2^64536400 is an apocalyptic number.

It is an amenable number.

64536400 is an abundant number, since it is smaller than the sum of its proper divisors (90513262).

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

64536400 is a wasteful number, since it uses less digits than its factorization.

64536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161359 (or 161348 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 64536400 is about 8033.4550474874. The cubic root of 64536400 is about 401.1143924405.

Adding to 64536400 its reverse (463546), we get a palindrome (64999946).

The spelling of 64536400 in words is "sixty-four million, five hundred thirty-six thousand, four hundred".