84970464 has 96 divisors (see below), whose sum is σ = 240952320. Its totient is φ = 26138112.

The previous prime is 84970453. The next prime is 84970513. The reversal of 84970464 is 46407948.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63369 + ... + 64695.

It is an arithmetic number, because the mean of its divisors is an integer number (2509920).

Almost surely, 2^84970464 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 84970464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120476160).

84970464 is an abundant number, since it is smaller than the sum of its proper divisors (155981856).

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

84970464 is a wasteful number, since it uses less digits than its factorization.

84970464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 84970464 is about 9217.9425036176. The cubic root of 84970464 is about 439.6320339586.

The spelling of 84970464 in words is "eighty-four million, nine hundred seventy thousand, four hundred sixty-four".