5935140 has 96 divisors (see below), whose sum is σ = 19152000. Its totient is φ = 1524096.

The previous prime is 5935129. The next prime is 5935147. The reversal of 5935140 is 415395.

5935140 = T₅ + T₆ + ... + T₃₂₈.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (5935147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15471 + ... + 15849.

It is an arithmetic number, because the mean of its divisors is an integer number (199500).

Almost surely, 2^5935140 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 5935140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576000).

5935140 is an abundant number, since it is smaller than the sum of its proper divisors (13216860).

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

5935140 is a wasteful number, since it uses less digits than its factorization.

5935140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5935140 is about 2436.2142762902. The cubic root of 5935140 is about 181.0549165394.

The spelling of 5935140 in words is "five million, nine hundred thirty-five thousand, one hundred forty".