64846400 has 42 divisors (see below), whose sum is σ = 159566610. Its totient is φ = 25937920.

The previous prime is 64846367. The next prime is 64846403. The reversal of 64846400 is 464846.

It can be written as a sum of positive squares in 3 ways, for example, as 16516096 + 48330304 = 4064^2 + 6952^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (64846403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18665 + ... + 21864.

It is an arithmetic number, because the mean of its divisors is an integer number (3799205).

Almost surely, 2^64846400 is an apocalyptic number.

It is an amenable number.

64846400 is an abundant number, since it is smaller than the sum of its proper divisors (94720210).

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

64846400 is a wasteful number, since it uses less digits than its factorization.

64846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40551 (or 40536 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 64846400 is about 8052.7262464336. The cubic root of 64846400 is about 401.7556165861.

It can be divided in two parts, 64 and 846400, that multiplied together give a square (54169600 = 7360²).

The spelling of 64846400 in words is "sixty-four million, eight hundred forty-six thousand, four hundred".