84924840 has 384 divisors, whose sum is σ = 351630720. Its totient is φ = 16128000.

The previous prime is 84924823. The next prime is 84924859. The reversal of 84924840 is 4842948.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 840790 + ... + 840890.

It is an arithmetic number, because the mean of its divisors is an integer number (915705).

Almost surely, 2^84924840 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 84924840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175815360).

84924840 is an abundant number, since it is smaller than the sum of its proper divisors (266705880).

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

84924840 is a wasteful number, since it uses less digits than its factorization.

84924840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 84924840 is about 9215.4674325289. The cubic root of 84924840 is about 439.5533346005.

The spelling of 84924840 in words is "eighty-four million, nine hundred twenty-four thousand, eight hundred forty".