84737664 has 160 divisors (see below), whose sum is σ = 275473440. Its totient is φ = 25643520.

The previous prime is 84737657. The next prime is 84737671. The reversal of 84737664 is 46673748.

It is an interprime number because it is at equal distance from previous prime (84737657) and next prime (84737671).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113677 + ... + 114419.

It is an arithmetic number, because the mean of its divisors is an integer number (1721709).

Almost surely, 2^84737664 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 84737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137736720).

84737664 is an abundant number, since it is smaller than the sum of its proper divisors (190735776).

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

84737664 is a wasteful number, since it uses less digits than its factorization.

84737664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 759 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 84737664 is about 9205.3062958274. The cubic root of 84737664 is about 439.2301690286.

The spelling of 84737664 in words is "eighty-four million, seven hundred thirty-seven thousand, six hundred sixty-four".