98696400 has 120 divisors (see below), whose sum is σ = 344945184. Its totient is φ = 23923200.

The previous prime is 98696387. The next prime is 98696443. The reversal of 98696400 is 469689.

It is a tau number, because it is divible by the number of its divisors (120).

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, 9462 + ... + 16938.

Almost surely, 2^98696400 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 98696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172472592).

98696400 is an abundant number, since it is smaller than the sum of its proper divisors (246248784).

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

98696400 is a wasteful number, since it uses less digits than its factorization.

98696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7509 (or 7498 counting only the distinct ones).

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

The square root of 98696400 is about 9934.6061824312. The cubic root of 98696400 is about 462.1331300524.

The spelling of 98696400 in words is "ninety-eight million, six hundred ninety-six thousand, four hundred".