98815872 has 64 divisors (see below), whose sum is σ = 263710800. Its totient is φ = 32784384.

The previous prime is 98815867. The next prime is 98815877. The reversal of 98815872 is 27851889.

It is an interprime number because it is at equal distance from previous prime (98815867) and next prime (98815877).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98815877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105904 + ... + 106832.

Almost surely, 2^98815872 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 98815872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131855400).

98815872 is an abundant number, since it is smaller than the sum of its proper divisors (164894928).

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

98815872 is a wasteful number, since it uses less digits than its factorization.

98815872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1211 counting only the distinct ones).

The product of its digits is 322560, while the sum is 48.

The square root of 98815872 is about 9940.6172846559. The cubic root of 98815872 is about 462.3195255922.

It can be divided in two parts, 9881 and 5872, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 98815872 in words is "ninety-eight million, eight hundred fifteen thousand, eight hundred seventy-two".