84764016 has 160 divisors (see below), whose sum is σ = 267840000. Its totient is φ = 25546752.

The previous prime is 84763981. The next prime is 84764027. The reversal of 84764016 is 61046748.

84764016 is a `hidden beast` number, since 8 + 4 + 7 + 640 + 1 + 6 = 666.

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 31 ways as a sum of consecutive naturals, for example, 188560 + ... + 189008.

It is an arithmetic number, because the mean of its divisors is an integer number (1674000).

Almost surely, 2^84764016 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 84764016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920000).

84764016 is an abundant number, since it is smaller than the sum of its proper divisors (183075984).

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

84764016 is a wasteful number, since it uses less digits than its factorization.

84764016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

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

The square root of 84764016 is about 9206.7375329158. The cubic root of 84764016 is about 439.2756953949.

The spelling of 84764016 in words is "eighty-four million, seven hundred sixty-four thousand, sixteen".