5935040 has 56 divisors (see below), whose sum is σ = 14977872. Its totient is φ = 2232320.

The previous prime is 5935003. The next prime is 5935051. The reversal of 5935040 is 405395.

5935040 = T₉ + T₁₀ + ... + T₃₂₈.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4895 + ... + 5985.

It is an arithmetic number, because the mean of its divisors is an integer number (267462).

Almost surely, 2^5935040 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 5935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488936).

5935040 is an abundant number, since it is smaller than the sum of its proper divisors (9042832).

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

5935040 is a wasteful number, since it uses less digits than its factorization.

5935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 5935040 is about 2436.1937525575. The cubic root of 5935040 is about 181.0538996809.

The spelling of 5935040 in words is "five million, nine hundred thirty-five thousand, forty".