97194960 has 120 divisors (see below), whose sum is σ = 331914024. Its totient is φ = 25482240.

The previous prime is 97194959. The next prime is 97194961. The reversal of 97194960 is 6949179.

It is an interprime number because it is at equal distance from previous prime (97194959) and next prime (97194961).

It can be written as a sum of positive squares in 4 ways, for example, as 12702096 + 84492864 = 3564^2 + 9192^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97194961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42814 + ... + 45026.

Almost surely, 2^97194960 is an apocalyptic number.

97194960 is a gapful number since it is divisible by the number (90) 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 97194960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165957012).

97194960 is an abundant number, since it is smaller than the sum of its proper divisors (234719064).

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

97194960 is a wasteful number, since it uses less digits than its factorization.

97194960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 97194960 is about 9858.7504279194. The cubic root of 97194960 is about 459.7777123861. Note that the first 4 decimals are identical.

The spelling of 97194960 in words is "ninety-seven million, one hundred ninety-four thousand, nine hundred sixty".