11487000 has 128 divisors (see below), whose sum is σ = 41034240. Its totient is φ = 2620800.

The previous prime is 11486989. The next prime is 11487017. The reversal of 11487000 is 78411.

11487000 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 super-4 number, since 4×11487000⁴ (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 20727 + ... + 21273.

It is an arithmetic number, because the mean of its divisors is an integer number (320580).

Almost surely, 2^11487000 is an apocalyptic number.

11487000 is a gapful number since it is divisible by the number (10) 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 11487000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20517120).

11487000 is an abundant number, since it is smaller than the sum of its proper divisors (29547240).

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

11487000 is a wasteful number, since it uses less digits than its factorization.

11487000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 11487000 is about 3389.2477041373. The cubic root of 11487000 is about 225.6327865935.

The spelling of 11487000 in words is "eleven million, four hundred eighty-seven thousand".