1152900 has 144 divisors (see below), whose sum is σ = 4305280. Its totient is φ = 259200.

The previous prime is 1152887. The next prime is 1152913. The reversal of 1152900 is 92511.

It is an interprime number because it is at equal distance from previous prime (1152887) and next prime (1152913).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18870 + ... + 18930.

2^1152900 is an apocalyptic number.

1152900 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 1152900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152640).

1152900 is an abundant number, since it is smaller than the sum of its proper divisors (3152380).

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

1152900 is a wasteful number, since it uses less digits than its factorization.

1152900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

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

The square root of 1152900 is about 1073.7318100904. The cubic root of 1152900 is about 104.8569480517.

The spelling of 1152900 in words is "one million, one hundred fifty-two thousand, nine hundred".