7949520 has 120 divisors (see below), whose sum is σ = 27284712. Its totient is φ = 2073600.

The previous prime is 7949519. The next prime is 7949537. The reversal of 7949520 is 259497.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 7160976 = 888^2 + 2676^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 43830 + ... + 44010.

Almost surely, 2^7949520 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 7949520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13642356).

7949520 is an abundant number, since it is smaller than the sum of its proper divisors (19335192).

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

7949520 is a wasteful number, since it uses less digits than its factorization.

7949520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 7949520 is about 2819.4893154612. The cubic root of 7949520 is about 199.5784454163.

The spelling of 7949520 in words is "seven million, nine hundred forty-nine thousand, five hundred twenty".