7661448 has 48 divisors (see below), whose sum is σ = 20982780. Its totient is φ = 2525184.

The previous prime is 7661411. The next prime is 7661471. The reversal of 7661448 is 8441667.

7661448 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7518564 + 142884 = 2742^2 + 378^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6436 + ... + 7532.

Almost surely, 2^7661448 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 7661448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10491390).

7661448 is an abundant number, since it is smaller than the sum of its proper divisors (13321332).

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

7661448 is a wasteful number, since it uses less digits than its factorization.

7661448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1199 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7661448 is about 2767.9320800916. The cubic root of 7661448 is about 197.1379726938.

The spelling of 7661448 in words is "seven million, six hundred sixty-one thousand, four hundred forty-eight".