97662960 has 240 divisors, whose sum is σ = 355155840. Its totient is φ = 23961600.

The previous prime is 97662959. The next prime is 97662967. The reversal of 97662960 is 6926679.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (97662967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966910 + ... + 967010.

It is an arithmetic number, because the mean of its divisors is an integer number (1479816).

Almost surely, 2^97662960 is an apocalyptic number.

97662960 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 97662960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177577920).

97662960 is an abundant number, since it is smaller than the sum of its proper divisors (257492880).

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

97662960 is a wasteful number, since it uses less digits than its factorization.

97662960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 97662960 is about 9882.4571843241. The cubic root of 97662960 is about 460.5144842251.

It can be divided in two parts, 976 and 62960, that added together give a palindrome (63936).

The spelling of 97662960 in words is "ninety-seven million, six hundred sixty-two thousand, nine hundred sixty".