97152240 has 80 divisors (see below), whose sum is σ = 302266368. Its totient is φ = 25813248.

The previous prime is 97152227. The next prime is 97152241. The reversal of 97152240 is 4225179.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 97152198 and 97152207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97152241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87529 + ... + 88631.

Almost surely, 2^97152240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151133184).

97152240 is an abundant number, since it is smaller than the sum of its proper divisors (205114128).

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

97152240 is a wasteful number, since it uses less digits than its factorization.

97152240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 97152240 is about 9856.5835866186. The cubic root of 97152240 is about 459.7103406408.

The spelling of 97152240 in words is "ninety-seven million, one hundred fifty-two thousand, two hundred forty".