84917664 has 144 divisors (see below), whose sum is σ = 267524712. Its totient is φ = 25380864.

The previous prime is 84917641. The next prime is 84917671. The reversal of 84917664 is 46671948.

It can be written as a sum of positive squares in 4 ways, for example, as 47610000 + 37307664 = 6900^2 + 6108^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×84917664² = 14422019318433792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138222 + ... + 138834.

Almost surely, 2^84917664 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 84917664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133762356).

84917664 is an abundant number, since it is smaller than the sum of its proper divisors (182607048).

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

84917664 is a wasteful number, since it uses less digits than its factorization.

84917664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 668 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 84917664 is about 9215.0780788879. The cubic root of 84917664 is about 439.5409537565.

The spelling of 84917664 in words is "eighty-four million, nine hundred seventeen thousand, six hundred sixty-four".