21737680 has 40 divisors (see below), whose sum is σ = 50880672. Its totient is φ = 8636544.

The previous prime is 21737663. The next prime is 21737687. The reversal of 21737680 is 8673712.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21737687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12207 + ... + 13873.

Almost surely, 2^21737680 is an apocalyptic number.

21737680 is a gapful number since it is divisible by the number (20) 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 21737680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25440336).

21737680 is an abundant number, since it is smaller than the sum of its proper divisors (29142992).

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

21737680 is a wasteful number, since it uses less digits than its factorization.

21737680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 21737680 is about 4662.3684968050. The cubic root of 21737680 is about 279.0857938557.

The spelling of 21737680 in words is "twenty-one million, seven hundred thirty-seven thousand, six hundred eighty".