1157200 has 60 divisors (see below), whose sum is σ = 3044448. Its totient is φ = 419200.

The previous prime is 1157183. The next prime is 1157201. The reversal of 1157200 is 27511.

It is a super-2 number, since 2×1157200² = 2678223680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4269 + ... + 4531.

2^1157200 is an apocalyptic number.

1157200 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 1157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522224).

1157200 is an abundant number, since it is smaller than the sum of its proper divisors (1887248).

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

1157200 is a wasteful number, since it uses less digits than its factorization.

1157200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 1157200 is about 1075.7323087088. The cubic root of 1157200 is about 104.9871488429.

The spelling of 1157200 in words is "one million, one hundred fifty-seven thousand, two hundred".