11736630 has 64 divisors (see below), whose sum is σ = 33151680. Its totient is φ = 2944512.

The previous prime is 11736629. The next prime is 11736649. The reversal of 11736630 is 3663711.

11736630 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11736594 and 11736603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3312 + ... + 5868.

It is an arithmetic number, because the mean of its divisors is an integer number (517995).

Almost surely, 2^11736630 is an apocalyptic number.

11736630 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 11736630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16575840).

11736630 is an abundant number, since it is smaller than the sum of its proper divisors (21415050).

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

11736630 is a wasteful number, since it uses less digits than its factorization.

11736630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 11736630 is about 3425.8765301744. The cubic root of 11736630 is about 227.2555358148.

The spelling of 11736630 in words is "eleven million, seven hundred thirty-six thousand, six hundred thirty".