98962560 has 320 divisors, whose sum is σ = 373222080. Its totient is φ = 24938496.

The previous prime is 98962547. The next prime is 98962573. The reversal of 98962560 is 6526989.

98962560 is a `hidden beast` number, since 9 + 89 + 6 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (98962547) and next prime (98962573).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1192279 + ... + 1192361.

It is an arithmetic number, because the mean of its divisors is an integer number (1166319).

Almost surely, 2^98962560 is an apocalyptic number.

98962560 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 98962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186611040).

98962560 is an abundant number, since it is smaller than the sum of its proper divisors (274259520).

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

98962560 is a wasteful number, since it uses less digits than its factorization.

98962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 98962560 is about 9947.9927623617. The cubic root of 98962560 is about 462.5481771094.

The spelling of 98962560 in words is "ninety-eight million, nine hundred sixty-two thousand, five hundred sixty".