11545632 has 192 divisors, whose sum is σ = 40642560. Its totient is φ = 3117312.

The previous prime is 11545627. The next prime is 11545643. The reversal of 11545632 is 23654511.

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 = 11545596 and 11545605.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 139063 + ... + 139145.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^11545632 is an apocalyptic number.

11545632 is a gapful number since it is divisible by the number (12) 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 11545632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

11545632 is an abundant number, since it is smaller than the sum of its proper divisors (29096928).

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

11545632 is a wasteful number, since it uses less digits than its factorization.

11545632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 11545632 is about 3397.8864018681. The cubic root of 11545632 is about 226.0160272655.

It can be divided in two parts, 1154 and 5632, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 11545632 in words is "eleven million, five hundred forty-five thousand, six hundred thirty-two".