93906540 has 360 divisors, whose sum is σ = 372002400. Its totient is φ = 19813248.

The previous prime is 93906509. The next prime is 93906541. The reversal of 93906540 is 4560939.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 93906495 and 93906504.

It is not an unprimeable number, because it can be changed into a prime (93906541) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7223574 + ... + 7223586.

It is an arithmetic number, because the mean of its divisors is an integer number (1033340).

Almost surely, 2^93906540 is an apocalyptic number.

93906540 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 93906540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186001200).

93906540 is an abundant number, since it is smaller than the sum of its proper divisors (278095860).

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

93906540 is a wasteful number, since it uses less digits than its factorization.

93906540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 93906540 is about 9690.5386847172. The cubic root of 93906540 is about 454.5328538810.

The spelling of 93906540 in words is "ninety-three million, nine hundred six thousand, five hundred forty".