97562880 has 180 divisors, whose sum is σ = 349468812. Its totient is φ = 25989120.

The previous prime is 97562879. The next prime is 97562887. The reversal of 97562880 is 8826579.

97562880 is a `hidden beast` number, since 9 + 7 + 562 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 49787136 = 6912^2 + 7056^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (97562887) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103210 + ... + 104150.

Almost surely, 2^97562880 is an apocalyptic number.

97562880 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 97562880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174734406).

97562880 is an abundant number, since it is smaller than the sum of its proper divisors (251905932).

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

97562880 is an equidigital number, since it uses as much as digits as its factorization.

97562880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 97562880 is about 9877.3923684341. The cubic root of 97562880 is about 460.3571265754.

The spelling of 97562880 in words is "ninety-seven million, five hundred sixty-two thousand, eight hundred eighty".