6461952 has 80 divisors (see below), whose sum is σ = 19707072. Its totient is φ = 1843200.

The previous prime is 6461951. The next prime is 6461953. The reversal of 6461952 is 2591646.

It is an interprime number because it is at equal distance from previous prime (6461951) and next prime (6461953).

It is not an unprimeable number, because it can be changed into a prime (6461951) 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 7 ways as a sum of consecutive naturals, for example, 10452 + ... + 11052.

Almost surely, 2^6461952 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 6461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9853536).

6461952 is an abundant number, since it is smaller than the sum of its proper divisors (13245120).

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

6461952 is an equidigital number, since it uses as much as digits as its factorization.

6461952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 613 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 6461952 is about 2542.0369784879. The cubic root of 6461952 is about 186.2607050586.

The spelling of 6461952 in words is "six million, four hundred sixty-one thousand, nine hundred fifty-two".