5540640 has 192 divisors, whose sum is σ = 21337344. Its totient is φ = 1179648.

The previous prime is 5540611. The next prime is 5540641. The reversal of 5540640 is 460455.

5540640 = 265² + 266² + ... + 327².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5540640.

It is not an unprimeable number, because it can be changed into a prime (5540641) 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, 57072 + ... + 57168.

It is an arithmetic number, because the mean of its divisors is an integer number (111132).

Almost surely, 2^5540640 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 5540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10668672).

5540640 is an abundant number, since it is smaller than the sum of its proper divisors (15796704).

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

5540640 is a wasteful number, since it uses less digits than its factorization.

5540640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5540640 is about 2353.8564102341. The cubic root of 5540640 is about 176.9511180410.

5540640 divided by its sum of digits (24) gives a triangular number (230860 = T₆₇₉).

The spelling of 5540640 in words is "five million, five hundred forty thousand, six hundred forty".