162776016 has 120 divisors (see below), whose sum is σ = 496608840. Its totient is φ = 49471488.

The previous prime is 162775981. The next prime is 162776039. The reversal of 162776016 is 610677261.

162776016 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 4 ways, for example, as 13838400 + 148937616 = 3720^2 + 12204^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166120 + ... + 167096.

It is an arithmetic number, because the mean of its divisors is an integer number (4138407).

Almost surely, 2^162776016 is an apocalyptic number.

162776016 is a gapful number since it is divisible by the number (16) 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 162776016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248304420).

162776016 is an abundant number, since it is smaller than the sum of its proper divisors (333832824).

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

162776016 is a wasteful number, since it uses less digits than its factorization.

162776016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 162776016 is about 12758.3704288596. The cubic root of 162776016 is about 546.0052328122.

The spelling of 162776016 in words is "one hundred sixty-two million, seven hundred seventy-six thousand, sixteen".