97851520 has 128 divisors (see below), whose sum is σ = 265608000. Its totient is φ = 34172928.

The previous prime is 97851511. The next prime is 97851529. The reversal of 97851520 is 2515879.

It is an interprime number because it is at equal distance from previous prime (97851511) and next prime (97851529).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 97851520.

It is not an unprimeable number, because it can be changed into a prime (97851529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157771 + ... + 158389.

Almost surely, 2^97851520 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 97851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132804000).

97851520 is an abundant number, since it is smaller than the sum of its proper divisors (167756480).

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

97851520 is a wasteful number, since it uses less digits than its factorization.

97851520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 97851520 is about 9891.9927213883. The cubic root of 97851520 is about 460.8106687988.

The spelling of 97851520 in words is "ninety-seven million, eight hundred fifty-one thousand, five hundred twenty".