6461920 has 24 divisors (see below), whose sum is σ = 15266664. Its totient is φ = 2584704.

The previous prime is 6461899. The next prime is 6461941. The reversal of 6461920 is 291646.

6461920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6461899) and next prime (6461941).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20034 + ... + 20353.

It is an arithmetic number, because the mean of its divisors is an integer number (636111).

Almost surely, 2^6461920 is an apocalyptic number.

It is an amenable number.

6461920 is an abundant number, since it is smaller than the sum of its proper divisors (8804744).

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

6461920 is a wasteful number, since it uses less digits than its factorization.

6461920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40402 (or 40394 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 6461920 is about 2542.0306843152. The cubic root of 6461920 is about 186.2603975998.

It can be divided in two parts, 6461 and 920, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 6461920 in words is "six million, four hundred sixty-one thousand, nine hundred twenty".