20667264 has 64 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 6811136.

The previous prime is 20667233. The next prime is 20667277. The reversal of 20667264 is 46276602.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40837 + ... + 41339.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 2^20667264 is an apocalyptic number.

20667264 is a gapful number since it is divisible by the number (24) 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 20667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

20667264 is an abundant number, since it is smaller than the sum of its proper divisors (34853376).

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

20667264 is a wasteful number, since it uses less digits than its factorization.

20667264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 20667264 is about 4546.1262630948. The cubic root of 20667264 is about 274.4275209189.

The spelling of 20667264 in words is "twenty million, six hundred sixty-seven thousand, two hundred sixty-four".