84672384 has 64 divisors (see below), whose sum is σ = 234714240. Its totient is φ = 26994176.

The previous prime is 84672349. The next prime is 84672397. The reversal of 84672384 is 48327648.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×84672384² = 14338825224486912, 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 7 ways as a sum of consecutive naturals, for example, 4039 + ... + 13625.

It is an arithmetic number, because the mean of its divisors is an integer number (3667410).

Almost surely, 2^84672384 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 84672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117357120).

84672384 is an abundant number, since it is smaller than the sum of its proper divisors (150041856).

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

84672384 is a wasteful number, since it uses less digits than its factorization.

84672384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9627 (or 9615 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 84672384 is about 9201.7598316844. The cubic root of 84672384 is about 439.1173490214.

The spelling of 84672384 in words is "eighty-four million, six hundred seventy-two thousand, three hundred eighty-four".