1186240 has 56 divisors (see below), whose sum is σ = 3090672. Its totient is φ = 430080.

The previous prime is 1186231. The next prime is 1186249. The reversal of 1186240 is 426811.

1186240 = 119² + 120² + ... + 173².

It is an interprime number because it is at equal distance from previous prime (1186231) and next prime (1186249).

It is a hoax number, since the sum of its digits (22) 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1186249) 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 7 ways as a sum of consecutive naturals, for example, 3352 + ... + 3688.

2^1186240 is an apocalyptic number.

1186240 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 1186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545336).

1186240 is an abundant number, since it is smaller than the sum of its proper divisors (1904432).

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

1186240 is a wasteful number, since it uses less digits than its factorization.

1186240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1186240 is about 1089.1464547984. The cubic root of 1186240 is about 105.8581227538.

The spelling of 1186240 in words is "one million, one hundred eighty-six thousand, two hundred forty".