11487672 has 96 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 3136320.

The previous prime is 11487653. The next prime is 11487689. The reversal of 11487672 is 27678411.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11097 + ... + 12087.

It is an arithmetic number, because the mean of its divisors is an integer number (386880).

Almost surely, 2^11487672 is an apocalyptic number.

11487672 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 11487672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

11487672 is an abundant number, since it is smaller than the sum of its proper divisors (25652808).

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

11487672 is a wasteful number, since it uses less digits than its factorization.

11487672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1026 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 11487672 is about 3389.3468397318. The cubic root of 11487672 is about 225.6371864157.

The spelling of 11487672 in words is "eleven million, four hundred eighty-seven thousand, six hundred seventy-two".