98753460 has 72 divisors (see below), whose sum is σ = 299446560. Its totient is φ = 24306048.

The previous prime is 98753453. The next prime is 98753477. The reversal of 98753460 is 6435789.

It is a happy number.

It is a hoax number, since the sum of its digits (42) 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 23 ways as a sum of consecutive naturals, for example, 5271 + ... + 15009.

It is an arithmetic number, because the mean of its divisors is an integer number (4158980).

Almost surely, 2^98753460 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 98753460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149723280).

98753460 is an abundant number, since it is smaller than the sum of its proper divisors (200693100).

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

98753460 is a wasteful number, since it uses less digits than its factorization.

98753460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9777 (or 9762 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 98753460 is about 9937.4775471444. The cubic root of 98753460 is about 462.2221715856. Note that the first 3 decimals are identical.

The spelling of 98753460 in words is "ninety-eight million, seven hundred fifty-three thousand, four hundred sixty".