20772468 has 72 divisors (see below), whose sum is σ = 55135080. Its totient is φ = 6585600.

The previous prime is 20772467. The next prime is 20772469. The reversal of 20772468 is 86427702.

It is an interprime number because it is at equal distance from previous prime (20772467) and next prime (20772469).

It can be written as a sum of positive squares in 4 ways, for example, as 15069924 + 5702544 = 3882^2 + 2388^2 .

It is a super-2 number, since 2×20772468² = 862990853622048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20772463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105346 + ... + 105542.

It is an arithmetic number, because the mean of its divisors is an integer number (765765).

Almost surely, 2^20772468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20772468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27567540).

20772468 is an abundant number, since it is smaller than the sum of its proper divisors (34362612).

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

20772468 is a wasteful number, since it uses less digits than its factorization.

20772468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 20772468 is about 4557.6823057339. The cubic root of 20772468 is about 274.8923788246.

The spelling of 20772468 in words is "twenty million, seven hundred seventy-two thousand, four hundred sixty-eight".