84492720 has 400 divisors, whose sum is σ = 340290720. Its totient is φ = 19243008.

The previous prime is 84492713. The next prime is 84492739. The reversal of 84492720 is 2729448.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1432051 + ... + 1432109.

Almost surely, 2^84492720 is an apocalyptic number.

84492720 is a gapful number since it is divisible by the number (80) 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 84492720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170145360).

84492720 is an abundant number, since it is smaller than the sum of its proper divisors (255798000).

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

84492720 is a wasteful number, since it uses less digits than its factorization.

84492720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 84492720 is about 9191.9921670985. The cubic root of 84492720 is about 438.8065454188.

It can be divided in two parts, 84 and 492720, that added together give a square (492804 = 702²).

The spelling of 84492720 in words is "eighty-four million, four hundred ninety-two thousand, seven hundred twenty".