1157632 has 80 divisors (see below), whose sum is σ = 2946240. Its totient is φ = 442368.

The previous prime is 1157627. The next prime is 1157641. The reversal of 1157632 is 2367511.

It is a super-2 number, since 2×1157632² = 2680223694848, which contains 22 as substring.

Its product of digits (1260) is a multiple of the sum of its prime divisors (45).

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1157597 and 1157606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60919 + ... + 60937.

It is an arithmetic number, because the mean of its divisors is an integer number (36828).

2^1157632 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 1157632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473120).

1157632 is an abundant number, since it is smaller than the sum of its proper divisors (1788608).

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

1157632 is an equidigital number, since it uses as much as digits as its factorization.

1157632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 45 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 1157632 is about 1075.9330834211. The cubic root of 1157632 is about 105.0002116398. Note that the first 3 decimals are identical.

The spelling of 1157632 in words is "one million, one hundred fifty-seven thousand, six hundred thirty-two".