11628870 has 64 divisors (see below), whose sum is σ = 30792960. Its totient is φ = 2787200.

The previous prime is 11628847. The next prime is 11628907. The reversal of 11628870 is 7882611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43096 + ... + 43364.

It is an arithmetic number, because the mean of its divisors is an integer number (481140).

Almost surely, 2^11628870 is an apocalyptic number.

11628870 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 11628870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396480).

11628870 is an abundant number, since it is smaller than the sum of its proper divisors (19164090).

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

11628870 is a wasteful number, since it uses less digits than its factorization.

11628870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421.

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 11628870 is about 3410.1129013568. The cubic root of 11628870 is about 226.5578798424.

It can be divided in two parts, 11 and 628870, that added together give a triangular number (628881 = T₁₁₂₁).

The spelling of 11628870 in words is "eleven million, six hundred twenty-eight thousand, eight hundred seventy".