97948240 has 80 divisors (see below), whose sum is σ = 250015248. Its totient is φ = 35463168.

The previous prime is 97948219. The next prime is 97948243. The reversal of 97948240 is 4284979.

It can be written as a sum of positive squares in 8 ways, for example, as 2143296 + 95804944 = 1464^2 + 9788^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97948243) 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, 54232 + ... + 56008.

Almost surely, 2^97948240 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 97948240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125007624).

97948240 is an abundant number, since it is smaller than the sum of its proper divisors (152067008).

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

97948240 is a wasteful number, since it uses less digits than its factorization.

97948240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 97948240 is about 9896.8803165442. The cubic root of 97948240 is about 460.9624461420.

The spelling of 97948240 in words is "ninety-seven million, nine hundred forty-eight thousand, two hundred forty".