98114640 has 240 divisors, whose sum is σ = 343103040. Its totient is φ = 23162880.

The previous prime is 98114629. The next prime is 98114663. The reversal of 98114640 is 4641189.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 1662931 + ... + 1662989.

It is an arithmetic number, because the mean of its divisors is an integer number (1429596).

Almost surely, 2^98114640 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 98114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171551520).

98114640 is an abundant number, since it is smaller than the sum of its proper divisors (244988400).

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

98114640 is a wasteful number, since it uses less digits than its factorization.

98114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 98114640 is about 9905.2834386503. The cubic root of 98114640 is about 461.2233348030.

The spelling of 98114640 in words is "ninety-eight million, one hundred fourteen thousand, six hundred forty".