6129864 has 128 divisors (see below), whose sum is σ = 19152000. Its totient is φ = 1804032.

The previous prime is 6129863. The next prime is 6129899. The reversal of 6129864 is 4689216.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6129863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103867 + ... + 103925.

It is an arithmetic number, because the mean of its divisors is an integer number (149625).

Almost surely, 2^6129864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6129864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576000).

6129864 is an abundant number, since it is smaller than the sum of its proper divisors (13022136).

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

6129864 is a wasteful number, since it uses less digits than its factorization.

6129864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6129864 is about 2475.8562155343. The cubic root of 6129864 is about 183.0137049666.

The spelling of 6129864 in words is "six million, one hundred twenty-nine thousand, eight hundred sixty-four".