98972406 has 96 divisors (see below), whose sum is σ = 246486240. Its totient is φ = 28449792.

The previous prime is 98972399. The next prime is 98972407. The reversal of 98972406 is 60427989.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98972407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502300 + ... + 502496.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 2^98972406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98972406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123243120).

98972406 is an abundant number, since it is smaller than the sum of its proper divisors (147513834).

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

98972406 is a wasteful number, since it uses less digits than its factorization.

98972406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 347 counting only the distinct ones).

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

The square root of 98972406 is about 9948.4876237547. The cubic root of 98972406 is about 462.5635165749.

The spelling of 98972406 in words is "ninety-eight million, nine hundred seventy-two thousand, four hundred six".