98038080 has 224 divisors, whose sum is σ = 395508480. Its totient is φ = 22394880.

The previous prime is 98038069. The next prime is 98038091. The reversal of 98038080 is 8083089.

It is an interprime number because it is at equal distance from previous prime (98038069) and next prime (98038091).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×98038080² = 19222930260172800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59670 + ... + 61290.

Almost surely, 2^98038080 is an apocalyptic number.

98038080 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 98038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197754240).

98038080 is an abundant number, since it is smaller than the sum of its proper divisors (297470400).

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

98038080 is a wasteful number, since it uses less digits than its factorization.

98038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 98038080 is about 9901.4180802550. The cubic root of 98038080 is about 461.1033376001.

It can be divided in two parts, 980 and 38080, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 98038080 in words is "ninety-eight million, thirty-eight thousand, eighty".