5916040 has 64 divisors (see below), whose sum is σ = 14837760. Its totient is φ = 2108160.

The previous prime is 5916023. The next prime is 5916047. The reversal of 5916040 is 406195.

5916040 = 621² + 622² + ... + 635².

It is a super-3 number, since 3×5916040³ (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5915996 and 5916014.

It is not an unprimeable number, because it can be changed into a prime (5916047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15937 + ... + 16303.

It is an arithmetic number, because the mean of its divisors is an integer number (231840).

Almost surely, 2^5916040 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 5916040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418880).

5916040 is an abundant number, since it is smaller than the sum of its proper divisors (8921720).

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

5916040 is a wasteful number, since it uses less digits than its factorization.

5916040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 5916040 is about 2432.2911009992. The cubic root of 5916040 is about 180.8604889363.

It can be divided in two parts, 59160 and 40, that multiplied together give a triangular number (2366400 = T₂₁₇₅).

The spelling of 5916040 in words is "five million, nine hundred sixteen thousand, forty".