6268632 has 64 divisors (see below), whose sum is σ = 16848000. Its totient is φ = 1937664.

The previous prime is 6268621. The next prime is 6268637. The reversal of 6268632 is 2368626.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6268593 and 6268602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6268637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26788 + ... + 27020.

It is an arithmetic number, because the mean of its divisors is an integer number (263250).

Almost surely, 2^6268632 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 6268632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8424000).

6268632 is an abundant number, since it is smaller than the sum of its proper divisors (10579368).

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

6268632 is a wasteful number, since it uses less digits than its factorization.

6268632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 6268632 is about 2503.7236269205. The cubic root of 6268632 is about 184.3844356753.

The spelling of 6268632 in words is "six million, two hundred sixty-eight thousand, six hundred thirty-two".