7965540 has 144 divisors (see below), whose sum is σ = 27518400. Its totient is φ = 1918080.

The previous prime is 7965527. The next prime is 7965547. The reversal of 7965540 is 455697.

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 = 7965495 and 7965504.

It is not an unprimeable number, because it can be changed into a prime (7965547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53386 + ... + 53534.

It is an arithmetic number, because the mean of its divisors is an integer number (191100).

Almost surely, 2^7965540 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 7965540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759200).

7965540 is an abundant number, since it is smaller than the sum of its proper divisors (19552860).

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

7965540 is a wasteful number, since it uses less digits than its factorization.

7965540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 7965540 is about 2822.3288256332. The cubic root of 7965540 is about 199.7124200203.

It can be divided in two parts, 796 and 5540, that added together give a palindrome (6336).

The spelling of 7965540 in words is "seven million, nine hundred sixty-five thousand, five hundred forty".