162938880 has 360 divisors, whose sum is σ = 644068152. Its totient is φ = 37748736.

The previous prime is 162938857. The next prime is 162938887. The reversal of 162938880 is 88839261.

It can be written as a sum of positive squares in 4 ways, for example, as 11943936 + 150994944 = 3456^2 + 12288^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162938887) 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, 9584632 + ... + 9584648.

Almost surely, 2^162938880 is an apocalyptic number.

162938880 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 162938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322034076).

162938880 is an abundant number, since it is smaller than the sum of its proper divisors (481129272).

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

162938880 is a wasteful number, since it uses less digits than its factorization.

162938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 162938880 is about 12764.7514664407. The cubic root of 162938880 is about 546.1872722333.

The spelling of 162938880 in words is "one hundred sixty-two million, nine hundred thirty-eight thousand, eight hundred eighty".