93740040 has 192 divisors, whose sum is σ = 329799600. Its totient is φ = 23083008.

The previous prime is 93740039. The next prime is 93740047. The reversal of 93740040 is 4004739.

It can be written as a sum of positive squares in 8 ways, for example, as 55621764 + 38118276 = 7458^2 + 6174^2 .

It is a junction number, because it is equal to n+sod(n) for n = 93739986 and 93740013.

It is not an unprimeable number, because it can be changed into a prime (93740047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1768654 + ... + 1768706.

Almost surely, 2^93740040 is an apocalyptic number.

93740040 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 93740040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164899800).

93740040 is an abundant number, since it is smaller than the sum of its proper divisors (236059560).

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

93740040 is a wasteful number, since it uses less digits than its factorization.

93740040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 93740040 is about 9681.9440196688. The cubic root of 93740040 is about 454.2640600640.

Adding to 93740040 its reverse (4004739), we get a palindrome (97744779).

The spelling of 93740040 in words is "ninety-three million, seven hundred forty thousand, forty".