162664641 has 24 divisors (see below), whose sum is σ = 239077800. Its totient is φ = 106560000.

The previous prime is 162664633. The next prime is 162664661. The reversal of 162664641 is 146466261.

162664641 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 6 + 4 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1476225 + 161188416 = 1215^2 + 12696^2 .

It is not a de Polignac number, because 162664641 - 2³ = 162664633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 162664596 and 162664605.

It is not an unprimeable number, because it can be changed into a prime (162664631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134841 + ... + 136041.

It is an arithmetic number, because the mean of its divisors is an integer number (9961575).

Almost surely, 2^162664641 is an apocalyptic number.

It is an amenable number.

162664641 is a deficient number, since it is larger than the sum of its proper divisors (76413159).

162664641 is a wasteful number, since it uses less digits than its factorization.

162664641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1454 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 162664641 is about 12754.0049004225. The cubic root of 162664641 is about 545.8806747251.

The spelling of 162664641 in words is "one hundred sixty-two million, six hundred sixty-four thousand, six hundred forty-one".