16461600 has 144 divisors (see below), whose sum is σ = 56558880. Its totient is φ = 4158720.

The previous prime is 16461547. The next prime is 16461659. The reversal of 16461600 is 616461.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 866391 + ... + 866409.

It is an arithmetic number, because the mean of its divisors is an integer number (392770).

Almost surely, 2^16461600 is an apocalyptic number.

16461600 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 16461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28279440).

16461600 is an abundant number, since it is smaller than the sum of its proper divisors (40097280).

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

16461600 is an equidigital number, since it uses as much as digits as its factorization.

16461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 16461600 is about 4057.2897357719. The cubic root of 16461600 is about 254.3845210312.

The spelling of 16461600 in words is "sixteen million, four hundred sixty-one thousand, six hundred".