162656000 has 288 divisors, whose sum is σ = 482122368. Its totient is φ = 54067200.

The previous prime is 162655973. The next prime is 162656009. The reversal of 162656000 is 656261.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162656009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7071989 + ... + 7072011.

It is an arithmetic number, because the mean of its divisors is an integer number (1674036).

Almost surely, 2^162656000 is an apocalyptic number.

162656000 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 162656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241061184).

162656000 is an abundant number, since it is smaller than the sum of its proper divisors (319466368).

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

162656000 is a wasteful number, since it uses less digits than its factorization.

162656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 162656000 is about 12753.6661395851. Note that the first 3 decimals coincide. The cubic root of 162656000 is about 545.8710085423.

The spelling of 162656000 in words is "one hundred sixty-two million, six hundred fifty-six thousand".