84384384 has 64 divisors (see below), whose sum is σ = 256175040. Its totient is φ = 24109056.

The previous prime is 84384367. The next prime is 84384431. The reversal of 84384384 is 48348348.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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, 13009 + ... + 18384.

It is an arithmetic number, because the mean of its divisors is an integer number (4002735).

Almost surely, 2^84384384 is an apocalyptic number.

84384384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

84384384 is an abundant number, since it is smaller than the sum of its proper divisors (171790656).

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

84384384 is a wasteful number, since it uses less digits than its factorization.

84384384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31417 (or 31405 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 84384384 is about 9186.0973214962. The cubic root of 84384384 is about 438.6189202669.

The spelling of 84384384 in words is "eighty-four million, three hundred eighty-four thousand, three hundred eighty-four".