1160400 has 60 divisors (see below), whose sum is σ = 3720992. Its totient is φ = 309120.

The previous prime is 1160371. The next prime is 1160407. The reversal of 1160400 is 40611.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1160407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 717 + ... + 1683.

2^1160400 is an apocalyptic number.

1160400 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 1160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860496).

1160400 is an abundant number, since it is smaller than the sum of its proper divisors (2560592).

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

1160400 is a wasteful number, since it uses less digits than its factorization.

1160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1160400 is about 1077.2186407596. The cubic root of 1160400 is about 105.0838332754.

The spelling of 1160400 in words is "one million, one hundred sixty thousand, four hundred".