162256644 has 81 divisors (see below), whose sum is σ = 453172629. Its totient is φ = 48913920.

The previous prime is 162256631. The next prime is 162256657. The reversal of 162256644 is 446652261.

The square root of 162256644 is 12738.

It is a perfect power (a square), and thus also a powerful number.

162256644 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 5 + 6 + 644 = 666.

162256644 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (162256631) and next prime (162256657).

It can be written as a sum of positive squares in only one way, i.e., 39312900 + 122943744 = 6270^2 + 11088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 162256599 and 162256608.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 840612 + ... + 840804.

Almost surely, 2^162256644 is an apocalyptic number.

162256644 is the 12738-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162256644

162256644 is an abundant number, since it is smaller than the sum of its proper divisors (290915985).

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

162256644 is a wasteful number, since it uses less digits than its factorization.

162256644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 209 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The cubic root of 162256644 is about 545.4238982478.

Multiplying 162256644 by its sum of digits (36), we get a square (5841239184 = 76428²).

162256644 divided by its sum of digits (36) gives a square (4507129 = 2123²).

The spelling of 162256644 in words is "one hundred sixty-two million, two hundred fifty-six thousand, six hundred forty-four".