6272640 has 240 divisors, whose sum is σ = 24622290. Its totient is φ = 1520640.

The previous prime is 6272639. The next prime is 6272659. The reversal of 6272640 is 462726.

6272640 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 only one way, i.e., 5645376 + 627264 = 2376^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 570235 + ... + 570245.

Almost surely, 2^6272640 is an apocalyptic number.

6272640 is a gapful number since it is divisible by the number (60) 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 6272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12311145).

6272640 is an abundant number, since it is smaller than the sum of its proper divisors (18349650).

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

6272640 is a wasteful number, since it uses less digits than its factorization.

6272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6272640 is about 2504.5239068534. The cubic root of 6272640 is about 184.4237241714.

The spelling of 6272640 in words is "six million, two hundred seventy-two thousand, six hundred forty".