7513220 has 96 divisors (see below), whose sum is σ = 19305216. Its totient is φ = 2419200.

The previous prime is 7513213. The next prime is 7513223. The reversal of 7513220 is 223157.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 7513192 and 7513201.

It is not an unprimeable number, because it can be changed into a prime (7513223) 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, 105785 + ... + 105855.

It is an arithmetic number, because the mean of its divisors is an integer number (201096).

Almost surely, 2^7513220 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 7513220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652608).

7513220 is an abundant number, since it is smaller than the sum of its proper divisors (11791996).

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

7513220 is a wasteful number, since it uses less digits than its factorization.

7513220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 7513220 is about 2741.0253555923. The cubic root of 7513220 is about 195.8583246613.

Adding to 7513220 its reverse (223157), we get a palindrome (7736377).

It can be divided in two parts, 7 and 513220, that multiplied together give a triangular number (3592540 = T₂₆₈₀).

The spelling of 7513220 in words is "seven million, five hundred thirteen thousand, two hundred twenty".