66557832 has 64 divisors (see below), whose sum is σ = 184541760. Its totient is φ = 19833600.

The previous prime is 66557831. The next prime is 66557833. The reversal of 66557832 is 23875566.

It is an interprime number because it is at equal distance from previous prime (66557831) and next prime (66557833).

It is not an unprimeable number, because it can be changed into a prime (66557831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14038 + ... + 18170.

It is an arithmetic number, because the mean of its divisors is an integer number (2883465).

Almost surely, 2^66557832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66557832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92270880).

66557832 is an abundant number, since it is smaller than the sum of its proper divisors (117983928).

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

66557832 is a wasteful number, since it uses less digits than its factorization.

66557832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4210 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 66557832 is about 8158.2983519849. The cubic root of 66557832 is about 405.2593613810.

The spelling of 66557832 in words is "sixty-six million, five hundred fifty-seven thousand, eight hundred thirty-two".