1157016 has 64 divisors (see below), whose sum is σ = 3386880. Its totient is φ = 322560.

The previous prime is 1157011. The next prime is 1157017. The reversal of 1157016 is 6107511.

1157016 = 91² + 92² + ... + 161².

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1156983 and 1157001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11880 + ... + 11976.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2^1157016 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 1157016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693440).

1157016 is an abundant number, since it is smaller than the sum of its proper divisors (2229864).

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

1157016 is a wasteful number, since it uses less digits than its factorization.

1157016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 1157016 is about 1075.6467821734. The cubic root of 1157016 is about 104.9815840718.

The spelling of 1157016 in words is "one million, one hundred fifty-seven thousand, sixteen".