98390560 has 96 divisors (see below), whose sum is σ = 250577712. Its totient is φ = 36372480.

The previous prime is 98390557. The next prime is 98390561. The reversal of 98390560 is 6509389.

It can be written as a sum of positive squares in 8 ways, for example, as 33039504 + 65351056 = 5748^2 + 8084^2 .

It is a super-2 number, since 2×98390560² = 19361404594227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98390561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165624 + ... + 166216.

Almost surely, 2^98390560 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 98390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125288856).

98390560 is an abundant number, since it is smaller than the sum of its proper divisors (152187152).

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

98390560 is a wasteful number, since it uses less digits than its factorization.

98390560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 98390560 is about 9919.2015807725. The cubic root of 98390560 is about 461.6552840462.

The spelling of 98390560 in words is "ninety-eight million, three hundred ninety thousand, five hundred sixty".