84251664 has 200 divisors, whose sum is σ = 287356608. Its totient is φ = 23328000.

The previous prime is 84251623. The next prime is 84251729. The reversal of 84251664 is 46615248.

84251664 is a `hidden beast` number, since 84 + 2 + 516 + 64 = 666.

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 39 ways as a sum of consecutive naturals, for example, 335539 + ... + 335789.

Almost surely, 2^84251664 is an apocalyptic number.

84251664 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 84251664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143678304).

84251664 is an abundant number, since it is smaller than the sum of its proper divisors (203104944).

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

84251664 is a wasteful number, since it uses less digits than its factorization.

84251664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 84251664 is about 9178.8705187512. The cubic root of 84251664 is about 438.3888459076.

The spelling of 84251664 in words is "eighty-four million, two hundred fifty-one thousand, six hundred sixty-four".