97266816 has 96 divisors (see below), whose sum is σ = 292144320. Its totient is φ = 31004160.

The previous prime is 97266803. The next prime is 97266857. The reversal of 97266816 is 61866279.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24661 + ... + 28331.

It is an arithmetic number, because the mean of its divisors is an integer number (3043170).

Almost surely, 2^97266816 is an apocalyptic number.

97266816 is a gapful number since it is divisible by the number (96) 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 97266816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146072160).

97266816 is an abundant number, since it is smaller than the sum of its proper divisors (194877504).

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

97266816 is a wasteful number, since it uses less digits than its factorization.

97266816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714 (or 3699 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 97266816 is about 9862.3940298489. The cubic root of 97266816 is about 459.8909886612.

The spelling of 97266816 in words is "ninety-seven million, two hundred sixty-six thousand, eight hundred sixteen".