97554816 has 96 divisors (see below), whose sum is σ = 295565400. Its totient is φ = 30799872.

The previous prime is 97554803. The next prime is 97554833. The reversal of 97554816 is 61845579.

97554816 is a `hidden beast` number, since 97 + 5 + 548 + 16 = 666.

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

It is a congruent number.

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, 19660 + ... + 24116.

Almost surely, 2^97554816 is an apocalyptic number.

97554816 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 97554816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147782700).

97554816 is an abundant number, since it is smaller than the sum of its proper divisors (198010584).

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

97554816 is a wasteful number, since it uses less digits than its factorization.

97554816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4481 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 97554816 is about 9876.9841550951. The cubic root of 97554816 is about 460.3444427140.

The spelling of 97554816 in words is "ninety-seven million, five hundred fifty-four thousand, eight hundred sixteen".