7949144 has 64 divisors (see below), whose sum is σ = 18585600. Its totient is φ = 3110400.

The previous prime is 7949143. The next prime is 7949167. The reversal of 7949144 is 4419497.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7949098 and 7949107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7949141) 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, 32864 + ... + 33104.

It is an arithmetic number, because the mean of its divisors is an integer number (290400).

Almost surely, 2^7949144 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 7949144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9292800).

7949144 is an abundant number, since it is smaller than the sum of its proper divisors (10636456).

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

7949144 is a wasteful number, since it uses less digits than its factorization.

7949144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 7949144 is about 2819.4226359310. The cubic root of 7949144 is about 199.5752987827.

The spelling of 7949144 in words is "seven million, nine hundred forty-nine thousand, one hundred forty-four".