20762664 has 48 divisors (see below), whose sum is σ = 56217600. Its totient is φ = 6387264.

The previous prime is 20762663. The next prime is 20762669. The reversal of 20762664 is 46626702.

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 not an unprimeable number, because it can be changed into a prime (20762663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1497 + ... + 6615.

It is an arithmetic number, because the mean of its divisors is an integer number (1171200).

Almost surely, 2^20762664 is an apocalyptic number.

20762664 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 20762664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28108800).

20762664 is an abundant number, since it is smaller than the sum of its proper divisors (35454936).

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

20762664 is a wasteful number, since it uses less digits than its factorization.

20762664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5137 counting only the distinct ones).

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

The square root of 20762664 is about 4556.6066321332. The cubic root of 20762664 is about 274.8491249531.

It can be divided in two parts, 207626 and 64, that added together give a triangular number (207690 = T₆₄₄).

The spelling of 20762664 in words is "twenty million, seven hundred sixty-two thousand, six hundred sixty-four".