7631448 has 64 divisors (see below), whose sum is σ = 21064320. Its totient is φ = 2284800.

The previous prime is 7631441. The next prime is 7631461. The reversal of 7631448 is 8441367.

It is a super-3 number, since 3×7631448³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7631441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36063 + ... + 36273.

It is an arithmetic number, because the mean of its divisors is an integer number (329130).

Almost surely, 2^7631448 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 7631448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10532160).

7631448 is an abundant number, since it is smaller than the sum of its proper divisors (13432872).

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

7631448 is a wasteful number, since it uses less digits than its factorization.

7631448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 7631448 is about 2762.5075565508. The cubic root of 7631448 is about 196.8803244718.

It can be divided in two parts, 763 and 1448, that added together give a triangular number (2211 = T₆₆).

The spelling of 7631448 in words is "seven million, six hundred thirty-one thousand, four hundred forty-eight".