64638000 has 480 divisors, whose sum is σ = 281648640. Its totient is φ = 13996800.

The previous prime is 64637977. The next prime is 64638031. The reversal of 64638000 is 83646.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3401991 + ... + 3402009.

It is an arithmetic number, because the mean of its divisors is an integer number (586768).

Almost surely, 2^64638000 is an apocalyptic number.

64638000 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 64638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140824320).

64638000 is an abundant number, since it is smaller than the sum of its proper divisors (217010640).

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

64638000 is a wasteful number, since it uses less digits than its factorization.

64638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 64638000 is about 8039.7761162858. The cubic root of 64638000 is about 401.3247742558.

The spelling of 64638000 in words is "sixty-four million, six hundred thirty-eight thousand".