64850400 has 108 divisors (see below), whose sum is σ = 228704112. Its totient is φ = 17291520.

The previous prime is 64850399. The next prime is 64850411. The reversal of 64850400 is 405846.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2697 + ... + 11703.

Almost surely, 2^64850400 is an apocalyptic number.

64850400 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 64850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114352056).

64850400 is an abundant number, since it is smaller than the sum of its proper divisors (163853712).

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

64850400 is a wasteful number, since it uses less digits than its factorization.

64850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9033 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 64850400 is about 8052.9746056970. The cubic root of 64850400 is about 401.7638770777.

The spelling of 64850400 in words is "sixty-four million, eight hundred fifty thousand, four hundred".