97461768 has 64 divisors (see below), whose sum is σ = 254200320. Its totient is φ = 31104000.

The previous prime is 97461757. The next prime is 97461781. The reversal of 97461768 is 86716479.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74496 + ... + 75792.

It is an arithmetic number, because the mean of its divisors is an integer number (3971880).

Almost surely, 2^97461768 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 97461768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127100160).

97461768 is an abundant number, since it is smaller than the sum of its proper divisors (156738552).

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

97461768 is a wasteful number, since it uses less digits than its factorization.

97461768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1434 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 97461768 is about 9872.2726866715. The cubic root of 97461768 is about 460.1980369731.

The spelling of 97461768 in words is "ninety-seven million, four hundred sixty-one thousand, seven hundred sixty-eight".