98972640 has 288 divisors, whose sum is σ = 386358336. Its totient is φ = 22855680.

The previous prime is 98972639. The next prime is 98972663. The reversal of 98972640 is 4627989.

It is a happy number.

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 (45).

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, 318085 + ... + 318395.

It is an arithmetic number, because the mean of its divisors is an integer number (1341522).

Almost surely, 2^98972640 is an apocalyptic number.

98972640 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 98972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193179168).

98972640 is an abundant number, since it is smaller than the sum of its proper divisors (287385696).

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

98972640 is a wasteful number, since it uses less digits than its factorization.

98972640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 98972640 is about 9948.4993843293. The cubic root of 98972640 is about 462.5638811202.

The spelling of 98972640 in words is "ninety-eight million, nine hundred seventy-two thousand, six hundred forty".