6145680 has 80 divisors (see below), whose sum is σ = 19730880. Its totient is φ = 1580544.

The previous prime is 6145661. The next prime is 6145693. The reversal of 6145680 is 865416.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6519 + ... + 7401.

It is an arithmetic number, because the mean of its divisors is an integer number (246636).

Almost surely, 2^6145680 is an apocalyptic number.

6145680 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 6145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865440).

6145680 is an abundant number, since it is smaller than the sum of its proper divisors (13585200).

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

6145680 is a wasteful number, since it uses less digits than its factorization.

6145680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 6145680 is about 2479.0482044527. The cubic root of 6145680 is about 183.1709710366.

The spelling of 6145680 in words is "six million, one hundred forty-five thousand, six hundred eighty".