11634072 has 32 divisors (see below), whose sum is σ = 29198400. Its totient is φ = 3862944.

The previous prime is 11634071. The next prime is 11634107. The reversal of 11634072 is 27043611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11634071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6579 + ... + 8157.

It is an arithmetic number, because the mean of its divisors is an integer number (912450).

Almost surely, 2^11634072 is an apocalyptic number.

11634072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11634072 is an abundant number, since it is smaller than the sum of its proper divisors (17564328).

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

11634072 is a wasteful number, since it uses less digits than its factorization.

11634072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 11634072 is about 3410.8755474218. The cubic root of 11634072 is about 226.5916572257.

Adding to 11634072 its reverse (27043611), we get a palindrome (38677683).

The spelling of 11634072 in words is "eleven million, six hundred thirty-four thousand, seventy-two".