97903680 has 224 divisors, whose sum is σ = 376586496. Its totient is φ = 21037056.

The previous prime is 97903669. The next prime is 97903693. The reversal of 97903680 is 8630979.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113812 + ... + 114668.

Almost surely, 2^97903680 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 97903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188293248).

97903680 is an abundant number, since it is smaller than the sum of its proper divisors (278682816).

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

97903680 is a wasteful number, since it uses less digits than its factorization.

97903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 97903680 is about 9894.6288459952. The cubic root of 97903680 is about 460.8925330183.

The spelling of 97903680 in words is "ninety-seven million, nine hundred three thousand, six hundred eighty".