98967936 has 64 divisors (see below), whose sum is σ = 265693680. Its totient is φ = 32636928.

The previous prime is 98967901. The next prime is 98967943. The reversal of 98967936 is 63976989.

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

It is a super-2 number, since 2×98967936² = 19589304712200192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35920 + ... + 38576.

Almost surely, 2^98967936 is an apocalyptic number.

98967936 is a gapful number since it is divisible by the number (96) 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 98967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132846840).

98967936 is an abundant number, since it is smaller than the sum of its proper divisors (166725744).

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

98967936 is a wasteful number, since it uses less digits than its factorization.

98967936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2759 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 57.

The square root of 98967936 is about 9948.2629639551. The cubic root of 98967936 is about 462.5565527146.

The spelling of 98967936 in words is "ninety-eight million, nine hundred sixty-seven thousand, nine hundred thirty-six".