22765060 has 48 divisors (see below), whose sum is σ = 49585536. Its totient is φ = 8773632.

The previous prime is 22765051. The next prime is 22765081. The reversal of 22765060 is 6056722.

22765060 = T₁ + T₂ + ... + T₅₁₄.

22765060 is a nontrivial binomial coefficient, being equal to C(516, 3).

It is an unprimeable number.

It is the 514-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88452 + ... + 88708.

It is an arithmetic number, because the mean of its divisors is an integer number (1033032).

Almost surely, 2^22765060 is an apocalyptic number.

22765060 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 22765060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24792768).

22765060 is an abundant number, since it is smaller than the sum of its proper divisors (26820476).

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

22765060 is a wasteful number, since it uses less digits than its factorization.

22765060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 22765060 is about 4771.2744628663. The cubic root of 22765060 is about 283.4150660014.

The spelling of 22765060 in words is "twenty-two million, seven hundred sixty-five thousand, sixty".