6072840 has 64 divisors (see below), whose sum is σ = 20246400. Its totient is φ = 1619136.

The previous prime is 6072821. The next prime is 6072841. The reversal of 6072840 is 482706.

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

It is not an unprimeable number, because it can be changed into a prime (6072841) 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, 1732 + ... + 3891.

It is an arithmetic number, because the mean of its divisors is an integer number (316350).

Almost surely, 2^6072840 is an apocalyptic number.

6072840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6072840 is an abundant number, since it is smaller than the sum of its proper divisors (14173560).

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

6072840 is a wasteful number, since it uses less digits than its factorization.

6072840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5643 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6072840 is about 2464.3132917712. The cubic root of 6072840 is about 182.4444316966. Note that the first 4 decimals are identical.

It can be divided in two parts, 60 and 72840, that added together give a square (72900 = 270²).

The spelling of 6072840 in words is "six million, seventy-two thousand, eight hundred forty".