7920144 has 30 divisors (see below), whose sum is σ = 22165806. Its totient is φ = 2640000.

The previous prime is 7920139. The next prime is 7920149. The reversal of 7920144 is 4410297.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7920139) and next prime (7920149).

It can be written as a sum of positive squares in only one way, i.e., 4460544 + 3459600 = 2112^2 + 1860^2 .

It is not an unprimeable number, because it can be changed into a prime (7920149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27357 + ... + 27644.

Almost surely, 2^7920144 is an apocalyptic number.

It is an amenable number.

7920144 is an abundant number, since it is smaller than the sum of its proper divisors (14245662).

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

7920144 is a wasteful number, since it uses less digits than its factorization.

7920144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55015 (or 55006 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7920144 is about 2814.2750398637. The cubic root of 7920144 is about 199.3323067425.

The spelling of 7920144 in words is "seven million, nine hundred twenty thousand, one hundred forty-four".