84957660 has 84 divisors (see below), whose sum is σ = 267540168. Its totient is φ = 22651488.

The previous prime is 84957659. The next prime is 84957667. The reversal of 84957660 is 6675948.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84957667) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11667 + ... + 17493.

It is an arithmetic number, because the mean of its divisors is an integer number (3185002).

Almost surely, 2^84957660 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 84957660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133770084).

84957660 is an abundant number, since it is smaller than the sum of its proper divisors (182582508).

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

84957660 is a wasteful number, since it uses less digits than its factorization.

84957660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 84957660 is about 9217.2479623801. The cubic root of 84957660 is about 439.6099504758.

The spelling of 84957660 in words is "eighty-four million, nine hundred fifty-seven thousand, six hundred sixty".