1157856 has 48 divisors (see below), whose sum is σ = 3475584. Its totient is φ = 330624.

The previous prime is 1157851. The next prime is 1157869. The reversal of 1157856 is 6587511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190 + ... + 1533.

It is an arithmetic number, because the mean of its divisors is an integer number (72408).

2^1157856 is an apocalyptic number.

1157856 is a gapful number since it is divisible by the number (16) 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 1157856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737792).

1157856 is an abundant number, since it is smaller than the sum of its proper divisors (2317728).

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

1157856 is a wasteful number, since it uses less digits than its factorization.

1157856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1735 counting only the distinct ones).

The product of its digits is 8400, while the sum is 33.

The square root of 1157856 is about 1076.0371740790. The cubic root of 1157856 is about 105.0069836625.

The spelling of 1157856 in words is "one million, one hundred fifty-seven thousand, eight hundred fifty-six".