84378624 has 132 divisors (see below), whose sum is σ = 248292912. Its totient is φ = 25456640.

The previous prime is 84378617. The next prime is 84378629. The reversal of 84378624 is 42687348.

It is a tau number, because it is divible by the number of its divisors (132).

It is not an unprimeable number, because it can be changed into a prime (84378629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371599 + ... + 371825.

Almost surely, 2^84378624 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 84378624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124146456).

84378624 is an abundant number, since it is smaller than the sum of its proper divisors (163914288).

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

84378624 is a wasteful number, since it uses less digits than its factorization.

84378624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 243 counting only the distinct ones).

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

The square root of 84378624 is about 9185.7837988927. The cubic root of 84378624 is about 438.6089401326.

The spelling of 84378624 in words is "eighty-four million, three hundred seventy-eight thousand, six hundred twenty-four".