7315840 has 128 divisors (see below), whose sum is σ = 21150720. Its totient is φ = 2365440.

The previous prime is 7315829. The next prime is 7315843. The reversal of 7315840 is 485137.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 7315799 and 7315808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7315843) 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, 103005 + ... + 103075.

It is an arithmetic number, because the mean of its divisors is an integer number (165240).

Almost surely, 2^7315840 is an apocalyptic number.

7315840 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 7315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575360).

7315840 is an abundant number, since it is smaller than the sum of its proper divisors (13834880).

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

7315840 is a wasteful number, since it uses less digits than its factorization.

7315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 7315840 is about 2704.7809523139. The cubic root of 7315840 is about 194.1279490382.

The spelling of 7315840 in words is "seven million, three hundred fifteen thousand, eight hundred forty".