6461940 has 24 divisors (see below), whose sum is σ = 18093600. Its totient is φ = 1723168.

The previous prime is 6461899. The next prime is 6461941. The reversal of 6461940 is 491646.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6461898 and 6461907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53790 + ... + 53909.

It is an arithmetic number, because the mean of its divisors is an integer number (753900).

Almost surely, 2^6461940 is an apocalyptic number.

6461940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6461940 is an abundant number, since it is smaller than the sum of its proper divisors (11631660).

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

6461940 is a wasteful number, since it uses less digits than its factorization.

6461940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107711 (or 107709 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6461940 is about 2542.0346181750. The cubic root of 6461940 is about 186.2605897617.

The spelling of 6461940 in words is "six million, four hundred sixty-one thousand, nine hundred forty".