97501680 has 120 divisors (see below), whose sum is σ = 329621760. Its totient is φ = 25827840.

The previous prime is 97501639. The next prime is 97501687. The reversal of 97501680 is 8610579.

97501680 is a `hidden beast` number, since 97 + 501 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97501687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137166 + ... + 137874.

It is an arithmetic number, because the mean of its divisors is an integer number (2746848).

Almost surely, 2^97501680 is an apocalyptic number.

97501680 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 97501680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164810880).

97501680 is an abundant number, since it is smaller than the sum of its proper divisors (232120080).

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

97501680 is a wasteful number, since it uses less digits than its factorization.

97501680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 97501680 is about 9874.2938988061. The cubic root of 97501680 is about 460.2608476449.

The spelling of 97501680 in words is "ninety-seven million, five hundred one thousand, six hundred eighty".