64431360 has 432 divisors, whose sum is σ = 275498496. Its totient is φ = 13565952.

The previous prime is 64431281. The next prime is 64431371. The reversal of 64431360 is 6313446.

64431360 is a `hidden beast` number, since 644 + 3 + 13 + 6 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1370857 + ... + 1370903.

It is an arithmetic number, because the mean of its divisors is an integer number (637728).

Almost surely, 2^64431360 is an apocalyptic number.

64431360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137749248).

64431360 is an abundant number, since it is smaller than the sum of its proper divisors (211067136).

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

64431360 is a wasteful number, since it uses less digits than its factorization.

64431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 64431360 is about 8026.9147248491. The cubic root of 64431360 is about 400.8966551885.

The spelling of 64431360 in words is "sixty-four million, four hundred thirty-one thousand, three hundred sixty".