84978600 has 96 divisors (see below), whose sum is σ = 301081920. Its totient is φ = 19422720.

The previous prime is 84978581. The next prime is 84978611. The reversal of 84978600 is 687948.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5917 + ... + 14316.

It is an arithmetic number, because the mean of its divisors is an integer number (3136270).

Almost surely, 2^84978600 is an apocalyptic number.

It is an amenable number.

84978600 is an abundant number, since it is smaller than the sum of its proper divisors (216103320).

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

84978600 is a wasteful number, since it uses less digits than its factorization.

84978600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20259 (or 20250 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 84978600 is about 9218.3838062862. The cubic root of 84978600 is about 439.6460652345.

The spelling of 84978600 in words is "eighty-four million, nine hundred seventy-eight thousand, six hundred".