16461888 has 56 divisors (see below), whose sum is σ = 44122848. Its totient is φ = 5415936.

The previous prime is 16461883. The next prime is 16461901. The reversal of 16461888 is 88816461.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16461881) 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, 15420 + ... + 16452.

It is an arithmetic number, because the mean of its divisors is an integer number (787908).

Almost surely, 2^16461888 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 16461888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22061424).

16461888 is an abundant number, since it is smaller than the sum of its proper divisors (27660960).

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

16461888 is a wasteful number, since it uses less digits than its factorization.

16461888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1121 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 16461888 is about 4057.3252272895. The cubic root of 16461888 is about 254.3860045305.

The spelling of 16461888 in words is "sixteen million, four hundred sixty-one thousand, eight hundred eighty-eight".