1157824 has 28 divisors (see below), whose sum is σ = 2336800. Its totient is φ = 569088.

The previous prime is 1157791. The next prime is 1157831. The reversal of 1157824 is 4287511.

It is an Ulam number.

Its product of digits (2240) is a multiple of the sum of its prime factors (320).

It is a junction number, because it is equal to n+sod(n) for n = 1157792 and 1157801.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4942 + ... + 5170.

2^1157824 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 1157824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168400).

1157824 is an abundant number, since it is smaller than the sum of its proper divisors (1178976).

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

1157824 is an equidigital number, since it uses as much as digits as its factorization.

1157824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its digits is 2240, while the sum is 28.

The square root of 1157824 is about 1076.0223046015. The cubic root of 1157824 is about 105.0060162841.

The spelling of 1157824 in words is "one million, one hundred fifty-seven thousand, eight hundred twenty-four".