84709664 has 48 divisors (see below), whose sum is σ = 180884088. Its totient is φ = 38817792.

The previous prime is 84709661. The next prime is 84709697. The reversal of 84709664 is 46690748.

It can be written as a sum of positive squares in 4 ways, for example, as 75829264 + 8880400 = 8708^2 + 2980^2 .

It is not an unprimeable number, because it can be changed into a prime (84709661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64664 + ... + 65960.

Almost surely, 2^84709664 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 84709664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90442044).

84709664 is an abundant number, since it is smaller than the sum of its proper divisors (96174424).

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

84709664 is a wasteful number, since it uses less digits than its factorization.

84709664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 84709664 is about 9203.7853082305. The cubic root of 84709664 is about 439.1817851931.

The spelling of 84709664 in words is "eighty-four million, seven hundred nine thousand, six hundred sixty-four".