6141920 has 48 divisors (see below), whose sum is σ = 15150240. Its totient is φ = 2348544.

The previous prime is 6141899. The next prime is 6141977. The reversal of 6141920 is 291416.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2846 + ... + 4514.

It is an arithmetic number, because the mean of its divisors is an integer number (315630).

Almost surely, 2^6141920 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 6141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7575120).

6141920 is an abundant number, since it is smaller than the sum of its proper divisors (9008320).

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

6141920 is a wasteful number, since it uses less digits than its factorization.

6141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 6141920 is about 2478.2897328601. The cubic root of 6141920 is about 183.1336080241.

It can be divided in two parts, 614 and 1920, that multiplied together give a triangular number (1178880 = T₁₅₃₅).

The spelling of 6141920 in words is "six million, one hundred forty-one thousand, nine hundred twenty".