6632736 has 72 divisors (see below), whose sum is σ = 19171152. Its totient is φ = 2006400.

The previous prime is 6632723. The next prime is 6632777. The reversal of 6632736 is 6372366.

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

It is a junction number, because it is equal to n+sod(n) for n = 6632697 and 6632706.

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, 11331 + ... + 11901.

It is an arithmetic number, because the mean of its divisors is an integer number (266266).

Almost surely, 2^6632736 is an apocalyptic number.

6632736 is a gapful number since it is divisible by the number (66) 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 6632736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9585576).

6632736 is an abundant number, since it is smaller than the sum of its proper divisors (12538416).

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

6632736 is a wasteful number, since it uses less digits than its factorization.

6632736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 587 counting only the distinct ones).

The product of its digits is 27216, while the sum is 33.

The square root of 6632736 is about 2575.4098702925. The cubic root of 6632736 is about 187.8873627384.

It can be divided in two parts, 6 and 632736, that multiplied together give a cube (3796416 = 156³).

The spelling of 6632736 in words is "six million, six hundred thirty-two thousand, seven hundred thirty-six".