84016764 has 144 divisors (see below), whose sum is σ = 243283040. Its totient is φ = 25194240.

The previous prime is 84016763. The next prime is 84016781. The reversal of 84016764 is 46761048.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84016763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 770742 + ... + 770850.

Almost surely, 2^84016764 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 84016764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121641520).

84016764 is an abundant number, since it is smaller than the sum of its proper divisors (159266276).

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

84016764 is a wasteful number, since it uses less digits than its factorization.

84016764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

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

The square root of 84016764 is about 9166.0658954646. The cubic root of 84016764 is about 437.9810462806.

The spelling of 84016764 in words is "eighty-four million, sixteen thousand, seven hundred sixty-four".