64266900 has 144 divisors (see below), whose sum is σ = 196862400. Its totient is φ = 16163840.

The previous prime is 64266883. The next prime is 64266901. The reversal of 64266900 is 966246.

It is a super-2 number, since 2×64266900² = 8260468871220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64266901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722056 + ... + 722144.

It is an arithmetic number, because the mean of its divisors is an integer number (1367100).

Almost surely, 2^64266900 is an apocalyptic number.

64266900 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 64266900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98431200).

64266900 is an abundant number, since it is smaller than the sum of its proper divisors (132595500).

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

64266900 is a wasteful number, since it uses less digits than its factorization.

64266900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 64266900 is about 8016.6638946634. The cubic root of 64266900 is about 400.5552704967. Note that the first 3 decimals are identical.

The spelling of 64266900 in words is "sixty-four million, two hundred sixty-six thousand, nine hundred".