98974080 has 96 divisors (see below), whose sum is σ = 341789760. Its totient is φ = 26391552.

The previous prime is 98974061. The next prime is 98974081. The reversal of 98974080 is 8047989.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98974081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2832 + ... + 14351.

It is an arithmetic number, because the mean of its divisors is an integer number (3560310).

Almost surely, 2^98974080 is an apocalyptic number.

98974080 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 98974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170894880).

98974080 is an abundant number, since it is smaller than the sum of its proper divisors (242815680).

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

98974080 is a wasteful number, since it uses less digits than its factorization.

98974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17208 (or 17193 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 98974080 is about 9948.5717567900. The cubic root of 98974080 is about 462.5661244633.

The spelling of 98974080 in words is "ninety-eight million, nine hundred seventy-four thousand, eighty".