84977088 has 112 divisors (see below), whose sum is σ = 268224000. Its totient is φ = 23215104.

The previous prime is 84977083. The next prime is 84977089. The reversal of 84977088 is 88077948.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×84977088² = 14442210969919488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84977088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84977083) 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, 29538 + ... + 32286.

Almost surely, 2^84977088 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 84977088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134112000).

84977088 is an abundant number, since it is smaller than the sum of its proper divisors (183246912).

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

84977088 is a wasteful number, since it uses less digits than its factorization.

84977088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 84977088 is about 9218.3017958841. The cubic root of 84977088 is about 439.6434577200.

The spelling of 84977088 in words is "eighty-four million, nine hundred seventy-seven thousand, eighty-eight".