16461952 has 48 divisors (see below), whose sum is σ = 35558730. Its totient is φ = 7587840.

The previous prime is 16461947. The next prime is 16461979. The reversal of 16461952 is 25916461.

It can be written as a sum of positive squares in 3 ways, for example, as 2742336 + 13719616 = 1656^2 + 3704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21252 + ... + 22012.

Almost surely, 2^16461952 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 16461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17779365).

16461952 is an abundant number, since it is smaller than the sum of its proper divisors (19096778).

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

16461952 is an equidigital number, since it uses as much as digits as its factorization.

16461952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 776 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 16461952 is about 4057.3331142513. Note that the first 3 decimals coincide. The cubic root of 16461952 is about 254.3863341947.

The spelling of 16461952 in words is "sixteen million, four hundred sixty-one thousand, nine hundred fifty-two".