98972496 has 160 divisors (see below), whose sum is σ = 339025920. Its totient is φ = 27029376.

The previous prime is 98972479. The next prime is 98972513. The reversal of 98972496 is 69427989.

98972496 is a `hidden beast` number, since 9 + 89 + 72 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (98972479) and next prime (98972513).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1959552) is a multiple of the sum of its prime divisors (1458).

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 31 ways as a sum of consecutive naturals, for example, 68841 + ... + 70263.

It is an arithmetic number, because the mean of its divisors is an integer number (2118912).

Almost surely, 2^98972496 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 98972496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169512960).

98972496 is an abundant number, since it is smaller than the sum of its proper divisors (240053424).

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

98972496 is a wasteful number, since it uses less digits than its factorization.

98972496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1458 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 98972496 is about 9948.4921470542. The cubic root of 98972496 is about 462.5636567847.

The spelling of 98972496 in words is "ninety-eight million, nine hundred seventy-two thousand, four hundred ninety-six".