9098870400 has 384 divisors, whose sum is σ = 33944702400. Its totient is φ = 2379386880.

The previous prime is 9098870383. The next prime is 9098870413. The reversal of 9098870400 is 40788909.

9098870400 is a `hidden beast` number, since 90 + 98 + 8 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4578207 + ... + 4580193.

Almost surely, 2^9098870400 is an apocalyptic number.

9098870400 is a gapful number since it is divisible by the number (90) 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 9098870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16972351200).

9098870400 is an abundant number, since it is smaller than the sum of its proper divisors (24845832000).

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

9098870400 is a wasteful number, since it uses less digits than its factorization.

9098870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9098870400 is about 95387.9992451881. Note that the first 3 decimals coincide. The cubic root of 9098870400 is about 2087.6730892607.

The spelling of 9098870400 in words is "nine billion, ninety-eight million, eight hundred seventy thousand, four hundred".