1107864 has 64 divisors (see below), whose sum is σ = 3225600. Its totient is φ = 351648.

The previous prime is 1107853. The next prime is 1107881. The reversal of 1107864 is 4687011.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4857 + ... + 5079.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2^1107864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612800).

1107864 is an abundant number, since it is smaller than the sum of its proper divisors (2117736).

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

1107864 is a wasteful number, since it uses less digits than its factorization.

1107864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1107864 is about 1052.5511864038. The cubic root of 1107864 is about 103.4734231278.

The spelling of 1107864 in words is "one million, one hundred seven thousand, eight hundred sixty-four".