97593840 has 120 divisors (see below), whose sum is σ = 331652880. Its totient is φ = 25715712.

The previous prime is 97593833. The next prime is 97593851. The reversal of 97593840 is 4839579.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 63319 + ... + 64841.

It is an arithmetic number, because the mean of its divisors is an integer number (2763774).

Almost surely, 2^97593840 is an apocalyptic number.

97593840 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 97593840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165826440).

97593840 is an abundant number, since it is smaller than the sum of its proper divisors (234059040).

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

97593840 is a wasteful number, since it uses less digits than its factorization.

97593840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 97593840 is about 9878.9594593763. The cubic root of 97593840 is about 460.4058170517.

The spelling of 97593840 in words is "ninety-seven million, five hundred ninety-three thousand, eight hundred forty".