98401632 has 96 divisors (see below), whose sum is σ = 297787392. Its totient is φ = 27869184.

The previous prime is 98401619. The next prime is 98401637. The reversal of 98401632 is 23610489.

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

It is a junction number, because it is equal to n+sod(n) for n = 98401593 and 98401602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98401637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84768 + ... + 85920.

It is an arithmetic number, because the mean of its divisors is an integer number (3101952).

Almost surely, 2^98401632 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 98401632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148893696).

98401632 is an abundant number, since it is smaller than the sum of its proper divisors (199385760).

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

98401632 is a wasteful number, since it uses less digits than its factorization.

98401632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 98401632 is about 9919.7596745082. The cubic root of 98401632 is about 461.6726002588.

The spelling of 98401632 in words is "ninety-eight million, four hundred one thousand, six hundred thirty-two".