84687792 has 80 divisors (see below), whose sum is σ = 251150592. Its totient is φ = 24088320.

The previous prime is 84687787. The next prime is 84687797. The reversal of 84687792 is 29778648.

It is an interprime number because it is at equal distance from previous prime (84687787) and next prime (84687797).

It is a super-2 number, since 2×84687792² = 14344044227670528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84687797) 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, 102742 + ... + 103562.

Almost surely, 2^84687792 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 84687792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125575296).

84687792 is an abundant number, since it is smaller than the sum of its proper divisors (166462800).

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

84687792 is a wasteful number, since it uses less digits than its factorization.

84687792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1140 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 84687792 is about 9202.5970247534. The cubic root of 84687792 is about 439.1439830880.

The spelling of 84687792 in words is "eighty-four million, six hundred eighty-seven thousand, seven hundred ninety-two".