98215920 has 120 divisors (see below), whose sum is σ = 359856432. Its totient is φ = 23808000.

The previous prime is 98215889. The next prime is 98215927. The reversal of 98215920 is 2951289.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98215927) 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, 1720 + ... + 14120.

Almost surely, 2^98215920 is an apocalyptic number.

98215920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98215920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179928216).

98215920 is an abundant number, since it is smaller than the sum of its proper divisors (261640512).

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

98215920 is a wasteful number, since it uses less digits than its factorization.

98215920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12431 (or 12422 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 98215920 is about 9910.3945431047. The cubic root of 98215920 is about 461.3819813118.

The spelling of 98215920 in words is "ninety-eight million, two hundred fifteen thousand, nine hundred twenty".