97115040 has 144 divisors (see below), whose sum is σ = 361591776. Its totient is φ = 23539200.

The previous prime is 97114987. The next prime is 97115077. The reversal of 97115040 is 4051179.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 97114995 and 97115013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12775 + ... + 18905.

It is an arithmetic number, because the mean of its divisors is an integer number (2511054).

Almost surely, 2^97115040 is an apocalyptic number.

97115040 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 97115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180795888).

97115040 is an abundant number, since it is smaller than the sum of its proper divisors (264476736).

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

97115040 is a wasteful number, since it uses less digits than its factorization.

97115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6163 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 97115040 is about 9854.6963423537. The cubic root of 97115040 is about 459.6516581447.

The spelling of 97115040 in words is "ninety-seven million, one hundred fifteen thousand, forty".