97038480 has 320 divisors, whose sum is σ = 385689600. Its totient is φ = 19599360.

The previous prime is 97038479. The next prime is 97038493. The reversal of 97038480 is 8483079.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1090276 + ... + 1090364.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 2^97038480 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 97038480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

97038480 is an abundant number, since it is smaller than the sum of its proper divisors (288651120).

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

97038480 is a wasteful number, since it uses less digits than its factorization.

97038480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 97038480 is about 9850.8111341148. The cubic root of 97038480 is about 459.5308386077.

The spelling of 97038480 in words is "ninety-seven million, thirty-eight thousand, four hundred eighty".