16461280 has 96 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 5829120.

The previous prime is 16461259. The next prime is 16461301. The reversal of 16461280 is 8216461.

It is an interprime number because it is at equal distance from previous prime (16461259) and next prime (16461301).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82621 + ... + 82819.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 2^16461280 is an apocalyptic number.

16461280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16461280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

16461280 is an abundant number, since it is smaller than the sum of its proper divisors (27084320).

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

16461280 is a wasteful number, since it uses less digits than its factorization.

16461280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 16461280 is about 4057.2503003882. The cubic root of 16461280 is about 254.3828726784.

It can be divided in two parts, 1646 and 1280, that added together give a triangular number (2926 = T₇₆).

The spelling of 16461280 in words is "sixteen million, four hundred sixty-one thousand, two hundred eighty".