64556400 has 120 divisors (see below), whose sum is σ = 215879040. Its totient is φ = 16459520.

The previous prime is 64556399. The next prime is 64556413. The reversal of 64556400 is 465546.

64556400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26431 + ... + 28769.

It is an arithmetic number, because the mean of its divisors is an integer number (1798992).

Almost surely, 2^64556400 is an apocalyptic number.

64556400 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 64556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107939520).

64556400 is an abundant number, since it is smaller than the sum of its proper divisors (151322640).

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

64556400 is a wasteful number, since it uses less digits than its factorization.

64556400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 64556400 is about 8034.6997454790. The cubic root of 64556400 is about 401.1558236291.

The spelling of 64556400 in words is "sixty-four million, five hundred fifty-six thousand, four hundred".