7606144 has 64 divisors (see below), whose sum is σ = 18678240. Its totient is φ = 3004416.

The previous prime is 7606139. The next prime is 7606147. The reversal of 7606144 is 4416067.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7606147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11322 + ... + 11974.

Almost surely, 2^7606144 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 7606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9339120).

7606144 is an abundant number, since it is smaller than the sum of its proper divisors (11072096).

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

7606144 is a wasteful number, since it uses less digits than its factorization.

7606144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 7606144 is about 2757.9238568169. The cubic root of 7606144 is about 196.6624813179.

It can be divided in two parts, 7606 and 144, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 7606144 in words is "seven million, six hundred six thousand, one hundred forty-four".