97164480 has 224 divisors, whose sum is σ = 371612160. Its totient is φ = 21012480.

The previous prime is 97164451. The next prime is 97164491. The reversal of 97164480 is 8446179.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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, 127300 + ... + 128060.

Almost surely, 2^97164480 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 97164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185806080).

97164480 is an abundant number, since it is smaller than the sum of its proper divisors (274447680).

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

97164480 is a wasteful number, since it uses less digits than its factorization.

97164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 97164480 is about 9857.2044718571. The cubic root of 97164480 is about 459.7296457997.

It can be divided in two parts, 9716 and 4480, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 97164480 in words is "ninety-seven million, one hundred sixty-four thousand, four hundred eighty".