97941960 has 320 divisors, whose sum is σ = 364161600. Its totient is φ = 23514624.

The previous prime is 97941881. The next prime is 97942001. The reversal of 97941960 is 6914979.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2277699 + ... + 2277741.

It is an arithmetic number, because the mean of its divisors is an integer number (1138005).

Almost surely, 2^97941960 is an apocalyptic number.

97941960 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 97941960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182080800).

97941960 is an abundant number, since it is smaller than the sum of its proper divisors (266219640).

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

97941960 is a wasteful number, since it uses less digits than its factorization.

97941960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 97941960 is about 9896.5630397628. The cubic root of 97941960 is about 460.9525943195.

The spelling of 97941960 in words is "ninety-seven million, nine hundred forty-one thousand, nine hundred sixty".