6457920 has 168 divisors, whose sum is σ = 24213312. Its totient is φ = 1428480.

The previous prime is 6457879. The next prime is 6457921. The reversal of 6457920 is 297546.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (6457921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208305 + ... + 208335.

Almost surely, 2^6457920 is an apocalyptic number.

6457920 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 6457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12106656).

6457920 is an abundant number, since it is smaller than the sum of its proper divisors (17755392).

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

6457920 is a wasteful number, since it uses less digits than its factorization.

6457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 6457920 is about 2541.2437899580. The cubic root of 6457920 is about 186.2219572512.

Multiplying 6457920 by its product of nonzero digits (15120), we get a square (97643750400 = 312480²).

The spelling of 6457920 in words is "six million, four hundred fifty-seven thousand, nine hundred twenty".