97259040 has 288 divisors, whose sum is σ = 366191280. Its totient is φ = 23396352.

The previous prime is 97259021. The next prime is 97259047. The reversal of 97259040 is 4095279.

It can be written as a sum of positive squares in 8 ways, for example, as 61402896 + 35856144 = 7836^2 + 5988^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97258986 and 97259004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97259047) 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, 709852 + ... + 709988.

Almost surely, 2^97259040 is an apocalyptic number.

97259040 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 97259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183095640).

97259040 is an abundant number, since it is smaller than the sum of its proper divisors (268932240).

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

97259040 is a wasteful number, since it uses less digits than its factorization.

97259040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 97259040 is about 9861.9997972014. Note that the first 3 decimals coincide. The cubic root of 97259040 is about 459.8787329993.

The spelling of 97259040 in words is "ninety-seven million, two hundred fifty-nine thousand, forty".