21346800 has 60 divisors (see below), whose sum is σ = 68384760. Its totient is φ = 5692160.

The previous prime is 21346777. The next prime is 21346837. The reversal of 21346800 is 864312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 7695 + ... + 10094.

It is an arithmetic number, because the mean of its divisors is an integer number (1139746).

Almost surely, 2^21346800 is an apocalyptic number.

21346800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21346800 is an abundant number, since it is smaller than the sum of its proper divisors (47037960).

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

21346800 is a wasteful number, since it uses less digits than its factorization.

21346800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17810 (or 17799 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 21346800 is about 4620.2597329587. The cubic root of 21346800 is about 277.4028553723.

The spelling of 21346800 in words is "twenty-one million, three hundred forty-six thousand, eight hundred".