64906800 has 120 divisors (see below), whose sum is σ = 237651456. Its totient is φ = 14833920.

The previous prime is 64906771. The next prime is 64906801. The reversal of 64906800 is 860946.

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

It is not an unprimeable number, because it can be changed into a prime (64906801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4537 + ... + 12263.

Almost surely, 2^64906800 is an apocalyptic number.

64906800 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 64906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118825728).

64906800 is an abundant number, since it is smaller than the sum of its proper divisors (172744656).

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

64906800 is a wasteful number, since it uses less digits than its factorization.

64906800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7755 (or 7744 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 64906800 is about 8056.4756562656. The cubic root of 64906800 is about 401.8803138661.

The spelling of 64906800 in words is "sixty-four million, nine hundred six thousand, eight hundred".