5787540 has 144 divisors (see below), whose sum is σ = 19918080. Its totient is φ = 1347840.

The previous prime is 5787511. The next prime is 5787541. The reversal of 5787540 is 457875.

5787540 = 297² + 298² + ... + 351².

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 = 5787495 and 5787504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5787541) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 73221 + ... + 73299.

It is an arithmetic number, because the mean of its divisors is an integer number (138320).

Almost surely, 2^5787540 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 5787540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9959040).

5787540 is an abundant number, since it is smaller than the sum of its proper divisors (14130540).

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

5787540 is a wasteful number, since it uses less digits than its factorization.

5787540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5787540 is about 2405.7306582409. The cubic root of 5787540 is about 179.5414253028.

It can be divided in two parts, 578 and 7540, that added together give a palindrome (8118).

The spelling of 5787540 in words is "five million, seven hundred eighty-seven thousand, five hundred forty".