98624160 has 72 divisors (see below), whose sum is σ = 336559860. Its totient is φ = 26299392.

The previous prime is 98624137. The next prime is 98624171. The reversal of 98624160 is 6142689.

It can be written as a sum of positive squares in 2 ways, for example, as 98485776 + 138384 = 9924^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32805 + ... + 35684.

Almost surely, 2^98624160 is an apocalyptic number.

98624160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

98624160 is an abundant number, since it is smaller than the sum of its proper divisors (237935700).

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

98624160 is a wasteful number, since it uses less digits than its factorization.

98624160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68510 (or 68499 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 98624160 is about 9930.9697411683. The cubic root of 98624160 is about 462.0203510460.

The spelling of 98624160 in words is "ninety-eight million, six hundred twenty-four thousand, one hundred sixty".