84630924 has 72 divisors (see below), whose sum is σ = 246075648. Its totient is φ = 24023520.

The previous prime is 84630907. The next prime is 84630937. The reversal of 84630924 is 42903648.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41079 + ... + 43089.

Almost surely, 2^84630924 is an apocalyptic number.

84630924 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84630924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123037824).

84630924 is an abundant number, since it is smaller than the sum of its proper divisors (161444724).

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

84630924 is a wasteful number, since it uses less digits than its factorization.

84630924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 84630924 is about 9199.5067259066. The cubic root of 84630924 is about 439.0456657612.

The spelling of 84630924 in words is "eighty-four million, six hundred thirty thousand, nine hundred twenty-four".