84465408 has 72 divisors (see below), whose sum is σ = 227088400. Its totient is φ = 27869184.

The previous prime is 84465389. The next prime is 84465443. The reversal of 84465408 is 80456448.

It is a Smith number, since the sum of its digits (39) 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 7 ways as a sum of consecutive naturals, for example, 83208 + ... + 84216.

Almost surely, 2^84465408 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 84465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113544200).

84465408 is an abundant number, since it is smaller than the sum of its proper divisors (142622992).

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

84465408 is a wasteful number, since it uses less digits than its factorization.

84465408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 84465408 is about 9190.5064060693. The cubic root of 84465408 is about 438.7592593885.

The spelling of 84465408 in words is "eighty-four million, four hundred sixty-five thousand, four hundred eight".