1170400 has 144 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 345600.

The previous prime is 1170397. The next prime is 1170437. The reversal of 1170400 is 40711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61591 + ... + 61609.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2^1170400 is an apocalyptic number.

1170400 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 1170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880).

1170400 is an abundant number, since it is smaller than the sum of its proper divisors (2579360).

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

1170400 is a wasteful number, since it uses less digits than its factorization.

1170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 1170400 is about 1081.8502669039. The cubic root of 1170400 is about 105.3848312338.

It can be divided in two parts, 11 and 70400, that multiplied together give a square (774400 = 880²).

The spelling of 1170400 in words is "one million, one hundred seventy thousand, four hundred".