6451920 has 160 divisors (see below), whose sum is σ = 23212800. Its totient is φ = 1645056.

The previous prime is 6451919. The next prime is 6451927. The reversal of 6451920 is 291546.

6451920 is a `hidden beast` number, since 645 + 19 + 2 + 0 = 666.

6451920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6451927) 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, 62589 + ... + 62691.

It is an arithmetic number, because the mean of its divisors is an integer number (145080).

Almost surely, 2^6451920 is an apocalyptic number.

6451920 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 6451920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606400).

6451920 is an abundant number, since it is smaller than the sum of its proper divisors (16760880).

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

6451920 is a wasteful number, since it uses less digits than its factorization.

6451920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6451920 is about 2540.0629913449. The cubic root of 6451920 is about 186.1642669548.

It can be divided in two parts, 64 and 51920, that added together give a square (51984 = 228²).

The spelling of 6451920 in words is "six million, four hundred fifty-one thousand, nine hundred twenty".