98268972 has 48 divisors (see below), whose sum is σ = 240092160. Its totient is φ = 31223808.

The previous prime is 98268971. The next prime is 98268983. The reversal of 98268972 is 27986289.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (98268971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127404 + ... + 128172.

It is an arithmetic number, because the mean of its divisors is an integer number (5001920).

Almost surely, 2^98268972 is an apocalyptic number.

98268972 is a gapful number since it is divisible by the number (92) 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 98268972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120046080).

98268972 is an abundant number, since it is smaller than the sum of its proper divisors (141823188).

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

98268972 is a wasteful number, since it uses less digits than its factorization.

98268972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1260 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 98268972 is about 9913.0707654087. The cubic root of 98268972 is about 461.4650392350.

The spelling of 98268972 in words is "ninety-eight million, two hundred sixty-eight thousand, nine hundred seventy-two".