7456540 has 96 divisors (see below), whose sum is σ = 20490624. Its totient is φ = 2211840.

The previous prime is 7456513. The next prime is 7456549. The reversal of 7456540 is 456547.

It is a happy number.

7456540 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

7456540 is an undulating number in base 8.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7456549) 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, 30820 + ... + 31060.

It is an arithmetic number, because the mean of its divisors is an integer number (213444).

Almost surely, 2^7456540 is an apocalyptic number.

7456540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7456540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10245312).

7456540 is an abundant number, since it is smaller than the sum of its proper divisors (13034084).

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

7456540 is a wasteful number, since it uses less digits than its factorization.

7456540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 7456540 is about 2730.6665852865. Note that the first 3 decimals coincide. The cubic root of 7456540 is about 195.3645601809.

The spelling of 7456540 in words is "seven million, four hundred fifty-six thousand, five hundred forty".