84978432 has 216 divisors, whose sum is σ = 306109440. Its totient is φ = 22026240.

The previous prime is 84978407. The next prime is 84978433. The reversal of 84978432 is 23487948.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84978433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177169 + ... + 177647.

Almost surely, 2^84978432 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 84978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153054720).

84978432 is an abundant number, since it is smaller than the sum of its proper divisors (221131008).

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

84978432 is a wasteful number, since it uses less digits than its factorization.

84978432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 502 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 84978432 is about 9218.3746940553. The cubic root of 84978432 is about 439.6457755122.

The spelling of 84978432 in words is "eighty-four million, nine hundred seventy-eight thousand, four hundred thirty-two".