64731400 has 48 divisors (see below), whose sum is σ = 151123140. Its totient is φ = 25785600.

The previous prime is 64731397. The next prime is 64731409. The reversal of 64731400 is 413746.

It can be written as a sum of positive squares in 6 ways, for example, as 10355524 + 54375876 = 3218^2 + 7374^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (64731409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62890 + ... + 63910.

Almost surely, 2^64731400 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 64731400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75561570).

64731400 is an abundant number, since it is smaller than the sum of its proper divisors (86391740).

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

64731400 is a wasteful number, since it uses less digits than its factorization.

64731400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 64731400 is about 8045.5826389392. The cubic root of 64731400 is about 401.5179820392.

The spelling of 64731400 in words is "sixty-four million, seven hundred thirty-one thousand, four hundred".