6249120 has 96 divisors (see below), whose sum is σ = 20176128. Its totient is φ = 1625088.

The previous prime is 6249107. The next prime is 6249127. The reversal of 6249120 is 219426.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (6249127) 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, 22422 + ... + 22698.

It is an arithmetic number, because the mean of its divisors is an integer number (210168).

Almost surely, 2^6249120 is an apocalyptic number.

6249120 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 6249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10088064).

6249120 is an abundant number, since it is smaller than the sum of its proper divisors (13927008).

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

6249120 is a wasteful number, since it uses less digits than its factorization.

6249120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6249120 is about 2499.8239938044. The cubic root of 6249120 is about 184.1929293323.

The spelling of 6249120 in words is "six million, two hundred forty-nine thousand, one hundred twenty".