97416960 has 144 divisors (see below), whose sum is σ = 324946944. Its totient is φ = 24825856.

The previous prime is 97416931. The next prime is 97417007. The reversal of 97416960 is 6961479.

97416960 = 3286² + 3287² + ... + 3294².

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87769 + ... + 88871.

It is an arithmetic number, because the mean of its divisors is an integer number (2256576).

Almost surely, 2^97416960 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 97416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162473472).

97416960 is an abundant number, since it is smaller than the sum of its proper divisors (227529984).

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

97416960 is a wasteful number, since it uses less digits than its factorization.

97416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 97416960 is about 9870.0030395132. The cubic root of 97416960 is about 460.1275008885.

The spelling of 97416960 in words is "ninety-seven million, four hundred sixteen thousand, nine hundred sixty".