64952400 has 120 divisors (see below), whose sum is σ = 210343680. Its totient is φ = 17131520.

The previous prime is 64952399. The next prime is 64952411. The reversal of 64952400 is 425946.

64952400 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, 135361 + ... + 135839.

It is an arithmetic number, because the mean of its divisors is an integer number (1752864).

Almost surely, 2^64952400 is an apocalyptic number.

64952400 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 64952400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105171840).

64952400 is an abundant number, since it is smaller than the sum of its proper divisors (145391280).

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

64952400 is a wasteful number, since it uses less digits than its factorization.

64952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 64952400 is about 8059.3051809694. The cubic root of 64952400 is about 401.9744049445.

The spelling of 64952400 in words is "sixty-four million, nine hundred fifty-two thousand, four hundred".