98972610 has 64 divisors (see below), whose sum is σ = 260717184. Its totient is φ = 23846400.

The previous prime is 98972609. The next prime is 98972617. The reversal of 98972610 is 1627989.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (98972617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58902 + ... + 60558.

It is an arithmetic number, because the mean of its divisors is an integer number (4073706).

Almost surely, 2^98972610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98972610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130358592).

98972610 is an abundant number, since it is smaller than the sum of its proper divisors (161744574).

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

98972610 is a wasteful number, since it uses less digits than its factorization.

98972610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859.

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 98972610 is about 9948.4978765641. The cubic root of 98972610 is about 462.5638343837.

The spelling of 98972610 in words is "ninety-eight million, nine hundred seventy-two thousand, six hundred ten".