64160400 has 120 divisors (see below), whose sum is σ = 207637504. Its totient is φ = 16934400.

The previous prime is 64160399. The next prime is 64160417. The reversal of 64160400 is 406146.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152190 + ... + 152610.

Almost surely, 2^64160400 is an apocalyptic number.

64160400 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 64160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103818752).

64160400 is an abundant number, since it is smaller than the sum of its proper divisors (143477104).

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

64160400 is a wasteful number, since it uses less digits than its factorization.

64160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 64160400 is about 8010.0187265699. The cubic root of 64160400 is about 400.3338878863. Note that the first 3 decimals are identical.

Adding to 64160400 its reverse (406146), we get a palindrome (64566546).

The spelling of 64160400 in words is "sixty-four million, one hundred sixty thousand, four hundred".