84024864 has 240 divisors, whose sum is σ = 308822976. Its totient is φ = 21772800.

The previous prime is 84024833. The next prime is 84024893. The reversal of 84024864 is 46842048.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199374 + ... + 199794.

Almost surely, 2^84024864 is an apocalyptic number.

84024864 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 84024864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154411488).

84024864 is an abundant number, since it is smaller than the sum of its proper divisors (224798112).

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

84024864 is a wasteful number, since it uses less digits than its factorization.

84024864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 84024864 is about 9166.5077319555. The cubic root of 84024864 is about 437.9951209815.

The spelling of 84024864 in words is "eighty-four million, twenty-four thousand, eight hundred sixty-four".