98712432 has 320 divisors, whose sum is σ = 364421120. Its totient is φ = 25194240.

The previous prime is 98712413. The next prime is 98712503. The reversal of 98712432 is 23421789.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (24192) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3184257 + ... + 3184287.

It is an arithmetic number, because the mean of its divisors is an integer number (1138816).

Almost surely, 2^98712432 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 98712432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182210560).

98712432 is an abundant number, since it is smaller than the sum of its proper divisors (265708688).

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

98712432 is a wasteful number, since it uses less digits than its factorization.

98712432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 98712432 is about 9935.4130261404. The cubic root of 98712432 is about 462.1581512866.

The spelling of 98712432 in words is "ninety-eight million, seven hundred twelve thousand, four hundred thirty-two".