64988400 has 120 divisors (see below), whose sum is σ = 215017984. Its totient is φ = 16761600.

The previous prime is 64988393. The next prime is 64988471. The reversal of 64988400 is 488946.

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

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, 36327 + ... + 38073.

Almost surely, 2^64988400 is an apocalyptic number.

64988400 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 64988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107508992).

64988400 is an abundant number, since it is smaller than the sum of its proper divisors (150029584).

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

64988400 is a wasteful number, since it uses less digits than its factorization.

64988400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 64988400 is about 8061.5383147387. The cubic root of 64988400 is about 402.0486562725.

The spelling of 64988400 in words is "sixty-four million, nine hundred eighty-eight thousand, four hundred".