97948440 has 112 divisors (see below), whose sum is σ = 330523200. Its totient is φ = 26111808.

The previous prime is 97948427. The next prime is 97948463. The reversal of 97948440 is 4484979.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27481 + ... + 30839.

It is an arithmetic number, because the mean of its divisors is an integer number (2951100).

Almost surely, 2^97948440 is an apocalyptic number.

97948440 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 97948440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165261600).

97948440 is an abundant number, since it is smaller than the sum of its proper divisors (232574760).

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

97948440 is a wasteful number, since it uses less digits than its factorization.

97948440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 97948440 is about 9896.8904207332. The cubic root of 97948440 is about 460.9627598874.

The spelling of 97948440 in words is "ninety-seven million, nine hundred forty-eight thousand, four hundred forty".