10772580 has 96 divisors (see below), whose sum is σ = 37142784. Its totient is φ = 2271744.

The previous prime is 10772557. The next prime is 10772581. The reversal of 10772580 is 8527701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10772581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4474 + ... + 6446.

It is an arithmetic number, because the mean of its divisors is an integer number (386904).

Almost surely, 2^10772580 is an apocalyptic number.

10772580 is a gapful number since it is divisible by the number (10) 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 10772580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18571392).

10772580 is an abundant number, since it is smaller than the sum of its proper divisors (26370204).

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

10772580 is a wasteful number, since it uses less digits than its factorization.

10772580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 10772580 is about 3282.1608735709. The cubic root of 10772580 is about 220.8546644479.

The spelling of 10772580 in words is "ten million, seven hundred seventy-two thousand, five hundred eighty".