162256640 has 216 divisors, whose sum is σ = 489333600. Its totient is φ = 51093504.

The previous prime is 162256631. The next prime is 162256657. The reversal of 162256640 is 46652261.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 162256597 and 162256606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 815261 + ... + 815459.

Almost surely, 2^162256640 is an apocalyptic number.

162256640 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 162256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244666800).

162256640 is an abundant number, since it is smaller than the sum of its proper divisors (327076960).

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

162256640 is a wasteful number, since it uses less digits than its factorization.

162256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 162256640 is about 12737.9998429895. Note that the first 3 decimals coincide. The cubic root of 162256640 is about 545.4238937658.

162256640 divided by its sum of digits (32) gives a triangular number (5070520 = T₃₁₈₄).

The spelling of 162256640 in words is "one hundred sixty-two million, two hundred fifty-six thousand, six hundred forty".