9097893000 has 512 divisors, whose sum is σ = 37047628800. Its totient is φ = 2021760000.

The previous prime is 9097892981. The next prime is 9097893011. The reversal of 9097893000 is 3987909.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 6992350 + ... + 6993650.

It is an arithmetic number, because the mean of its divisors is an integer number (72358650).

Almost surely, 2^9097893000 is an apocalyptic number.

9097893000 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 9097893000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18523814400).

9097893000 is an abundant number, since it is smaller than the sum of its proper divisors (27949735800).

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

9097893000 is a wasteful number, since it uses less digits than its factorization.

9097893000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 9097893000 is about 95382.8758216065. The cubic root of 9097893000 is about 2087.5983340198.

The spelling of 9097893000 in words is "nine billion, ninety-seven million, eight hundred ninety-three thousand".