160033640 has 64 divisors (see below), whose sum is σ = 389687760. Its totient is φ = 58798080.

The previous prime is 160033633. The next prime is 160033649. The reversal of 160033640 is 46330061.

160033640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 71334916 + 88698724 = 8446^2 + 9418^2 .

It is a super-2 number, since 2×160033640² = 51221531863299200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (160033649) 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, 124682 + ... + 125958.

Almost surely, 2^160033640 is an apocalyptic number.

160033640 is a gapful number since it is divisible by the number (10) 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 160033640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194843880).

160033640 is an abundant number, since it is smaller than the sum of its proper divisors (229654120).

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

160033640 is a wasteful number, since it uses less digits than its factorization.

160033640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 160033640 is about 12650.4403085426. The cubic root of 160033640 is about 542.9215677398.

The spelling of 160033640 in words is "one hundred sixty million, thirty-three thousand, six hundred forty".