64317400 has 72 divisors (see below), whose sum is σ = 173978820. Its totient is φ = 22048320.

The previous prime is 64317391. The next prime is 64317401. The reversal of 64317400 is 471346.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64317401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6519 + ... + 13081.

Almost surely, 2^64317400 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 64317400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86989410).

64317400 is an abundant number, since it is smaller than the sum of its proper divisors (109661420).

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

64317400 is a wasteful number, since it uses less digits than its factorization.

64317400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6593 (or 6577 counting only the distinct ones).

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

The square root of 64317400 is about 8019.8129654001. The cubic root of 64317400 is about 400.6601598730.

Adding to 64317400 its reverse (471346), we get a palindrome (64788746).

It can be divided in two parts, 6431 and 7400, that added together give a palindrome (13831).

The spelling of 64317400 in words is "sixty-four million, three hundred seventeen thousand, four hundred".