84890624 has 88 divisors (see below), whose sum is σ = 209088768. Its totient is φ = 33546240.

The previous prime is 84890621. The next prime is 84890633. The reversal of 84890624 is 42609848.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84890621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92729 + ... + 93639.

Almost surely, 2^84890624 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 84890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104544384).

84890624 is an abundant number, since it is smaller than the sum of its proper divisors (124198144).

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

84890624 is a wasteful number, since it uses less digits than its factorization.

84890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 84890624 is about 9213.6108014177. The cubic root of 84890624 is about 439.4942950341.

The spelling of 84890624 in words is "eighty-four million, eight hundred ninety thousand, six hundred twenty-four".