98074080 has 288 divisors, whose sum is σ = 374250240. Its totient is φ = 23362560.

The previous prime is 98074079. The next prime is 98074117. The reversal of 98074080 is 8047089.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3163665 + ... + 3163695.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 2^98074080 is an apocalyptic number.

98074080 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 98074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120).

98074080 is an abundant number, since it is smaller than the sum of its proper divisors (276176160).

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

98074080 is a wasteful number, since it uses less digits than its factorization.

98074080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 98074080 is about 9903.2358348168. The cubic root of 98074080 is about 461.1597703955.

The spelling of 98074080 in words is "ninety-eight million, seventy-four thousand, eighty".