98649600 has 240 divisors, whose sum is σ = 373452288. Its totient is φ = 22487040.

The previous prime is 98649541. The next prime is 98649641. The reversal of 98649600 is 694689.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268617 + ... + 268983.

Almost surely, 2^98649600 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 98649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186726144).

98649600 is an abundant number, since it is smaller than the sum of its proper divisors (274802688).

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

98649600 is a wasteful number, since it uses less digits than its factorization.

98649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 98649600 is about 9932.2505002643. The cubic root of 98649600 is about 462.0600735212.

The spelling of 98649600 in words is "ninety-eight million, six hundred forty-nine thousand, six hundred".