97895520 has 384 divisors, whose sum is σ = 383201280. Its totient is φ = 23224320.

The previous prime is 97895519. The next prime is 97895527. The reversal of 97895520 is 2559879.

It is a happy number.

97895520 is a `hidden beast` number, since 97 + 8 + 9 + 552 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97895527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2276619 + ... + 2276661.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 2^97895520 is an apocalyptic number.

97895520 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 97895520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600640).

97895520 is an abundant number, since it is smaller than the sum of its proper divisors (285305760).

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

97895520 is a wasteful number, since it uses less digits than its factorization.

97895520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 97895520 is about 9894.2164924768. The cubic root of 97895520 is about 460.8797279581.

The spelling of 97895520 in words is "ninety-seven million, eight hundred ninety-five thousand, five hundred twenty".