5767632 has 120 divisors (see below), whose sum is σ = 18153600. Its totient is φ = 1752192.

The previous prime is 5767631. The next prime is 5767637. The reversal of 5767632 is 2367675.

It is a happy number.

5767632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 5 + 7 + 6 + 7⁸ + 6² + 3⁶ + 2¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5767631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72969 + ... + 73047.

It is an arithmetic number, because the mean of its divisors is an integer number (151280).

Almost surely, 2^5767632 is an apocalyptic number.

5767632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5767632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9076800).

5767632 is an abundant number, since it is smaller than the sum of its proper divisors (12385968).

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

5767632 is a wasteful number, since it uses less digits than its factorization.

5767632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 5767632 is about 2401.5894736611. The cubic root of 5767632 is about 179.3353264045.

The spelling of 5767632 in words is "five million, seven hundred sixty-seven thousand, six hundred thirty-two".