11295000 has 120 divisors (see below), whose sum is σ = 38378340. Its totient is φ = 3000000.

The previous prime is 11294981. The next prime is 11295023. The reversal of 11295000 is 59211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44875 + ... + 45125.

Almost surely, 2^11295000 is an apocalyptic number.

11295000 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 11295000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19189170).

11295000 is an abundant number, since it is smaller than the sum of its proper divisors (27083340).

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

11295000 is a wasteful number, since it uses less digits than its factorization.

11295000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 11295000 is about 3360.8034753612. The cubic root of 11295000 is about 224.3686001801.

The spelling of 11295000 in words is "eleven million, two hundred ninety-five thousand".