84657672 has 96 divisors (see below), whose sum is σ = 252252000. Its totient is φ = 25436160.

The previous prime is 84657659. The next prime is 84657689. The reversal of 84657672 is 27675648.

84657672 is a `hidden beast` number, since 8 + 4 + 6 + 576 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109704 + ... + 110472.

It is an arithmetic number, because the mean of its divisors is an integer number (2627625).

Almost surely, 2^84657672 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 84657672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126126000).

84657672 is an abundant number, since it is smaller than the sum of its proper divisors (167594328).

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

84657672 is a wasteful number, since it uses less digits than its factorization.

84657672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 924 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 84657672 is about 9200.9603846555. The cubic root of 84657672 is about 439.0919150356.

It can be divided in two parts, 846576 and 72, that added together give a palindrome (846648).

The spelling of 84657672 in words is "eighty-four million, six hundred fifty-seven thousand, six hundred seventy-two".