66253680 has 160 divisors (see below), whose sum is σ = 234657600. Its totient is φ = 17169408.

The previous prime is 66253679. The next prime is 66253699. The reversal of 66253680 is 8635266.

It is a super-2 number, since 2×66253680² = 8779100227084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79506 + ... + 80334.

It is an arithmetic number, because the mean of its divisors is an integer number (1466610).

Almost surely, 2^66253680 is an apocalyptic number.

66253680 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 66253680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117328800).

66253680 is an abundant number, since it is smaller than the sum of its proper divisors (168403920).

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

66253680 is a wasteful number, since it uses less digits than its factorization.

66253680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 66253680 is about 8139.6363555137. The cubic root of 66253680 is about 404.6411086737.

The spelling of 66253680 in words is "sixty-six million, two hundred fifty-three thousand, six hundred eighty".