97660512 has 192 divisors, whose sum is σ = 309355200. Its totient is φ = 29859840.

The previous prime is 97660477. The next prime is 97660523. The reversal of 97660512 is 21506679.

It is a super-3 number, since 3×97660512³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

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, 895914 + ... + 896022.

It is an arithmetic number, because the mean of its divisors is an integer number (1611225).

Almost surely, 2^97660512 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 97660512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

97660512 is an abundant number, since it is smaller than the sum of its proper divisors (211694688).

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

97660512 is a wasteful number, since it uses less digits than its factorization.

97660512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 97660512 is about 9882.3333277116. Note that the first 4 decimals coincide. The cubic root of 97660512 is about 460.5106364720.

The spelling of 97660512 in words is "ninety-seven million, six hundred sixty thousand, five hundred twelve".