98400624 has 240 divisors, whose sum is σ = 329764608. Its totient is φ = 25073664.

The previous prime is 98400623. The next prime is 98400713. The reversal of 98400624 is 42600489.

98400624 = T₅₇ + T₅₈ + ... + T₈₃₈.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98400623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919579 + ... + 919685.

Almost surely, 2^98400624 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 98400624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164882304).

98400624 is an abundant number, since it is smaller than the sum of its proper divisors (231363984).

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

98400624 is a wasteful number, since it uses less digits than its factorization.

98400624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 98400624 is about 9919.7088666956. The cubic root of 98400624 is about 461.6710238366.

The spelling of 98400624 in words is "ninety-eight million, four hundred thousand, six hundred twenty-four".