98952960 has 144 divisors (see below), whose sum is σ = 321267744. Its totient is φ = 25952256.

The previous prime is 98952941. The next prime is 98952979. The reversal of 98952960 is 6925989.

It is an interprime number because it is at equal distance from previous prime (98952941) and next prime (98952979).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280144 + ... + 280496.

It is an arithmetic number, because the mean of its divisors is an integer number (2231026).

Almost surely, 2^98952960 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 98952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160633872).

98952960 is an abundant number, since it is smaller than the sum of its proper divisors (222314784).

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

98952960 is a wasteful number, since it uses less digits than its factorization.

98952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 98952960 is about 9947.5102412614. The cubic root of 98952960 is about 462.5332199172.

The spelling of 98952960 in words is "ninety-eight million, nine hundred fifty-two thousand, nine hundred sixty".