6270144 has 84 divisors (see below), whose sum is σ = 17778984. Its totient is φ = 1949696.

The previous prime is 6270137. The next prime is 6270157. The reversal of 6270144 is 4410726.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 55432 + ... + 55544.

Almost surely, 2^6270144 is an apocalyptic number.

6270144 is a gapful number since it is divisible by the number (64) 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 6270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8889492).

6270144 is an abundant number, since it is smaller than the sum of its proper divisors (11508840).

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

6270144 is a wasteful number, since it uses less digits than its factorization.

6270144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 6270144 is about 2504.0255589750. The cubic root of 6270144 is about 184.3992590506.

The spelling of 6270144 in words is "six million, two hundred seventy thousand, one hundred forty-four".