11632770 has 48 divisors (see below), whose sum is σ = 31295160. Its totient is φ = 2994432.

The previous prime is 11632759. The next prime is 11632783. The reversal of 11632770 is 7723611.

It can be written as a sum of positive squares in 4 ways, for example, as 10284849 + 1347921 = 3207^2 + 1161^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382 + ... + 4838.

Almost surely, 2^11632770 is an apocalyptic number.

11632770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11632770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15647580).

11632770 is an abundant number, since it is smaller than the sum of its proper divisors (19662390).

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

11632770 is a wasteful number, since it uses less digits than its factorization.

11632770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 11632770 is about 3410.6846819957. The cubic root of 11632770 is about 226.5832040849.

The spelling of 11632770 in words is "eleven million, six hundred thirty-two thousand, seven hundred seventy".