64982400 has 192 divisors, whose sum is σ = 244865280. Its totient is φ = 14837760.

The previous prime is 64982389. The next prime is 64982431. The reversal of 64982400 is 428946.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 66717 + ... + 67683.

It is an arithmetic number, because the mean of its divisors is an integer number (1275340).

Almost surely, 2^64982400 is an apocalyptic number.

64982400 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 64982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122432640).

64982400 is an abundant number, since it is smaller than the sum of its proper divisors (179882880).

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

64982400 is a wasteful number, since it uses less digits than its factorization.

64982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 64982400 is about 8061.1661687376. The cubic root of 64982400 is about 402.0362829557.

The spelling of 64982400 in words is "sixty-four million, nine hundred eighty-two thousand, four hundred".