162838080 has 224 divisors, whose sum is σ = 588142080. Its totient is φ = 42393600.

The previous prime is 162838079. The next prime is 162838099. The reversal of 162838080 is 80838261.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405880 + ... + 406280.

Almost surely, 2^162838080 is an apocalyptic number.

162838080 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 162838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294071040).

162838080 is an abundant number, since it is smaller than the sum of its proper divisors (425304000).

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

162838080 is a wasteful number, since it uses less digits than its factorization.

162838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 162838080 is about 12760.8024826027. The cubic root of 162838080 is about 546.0746184699.

The spelling of 162838080 in words is "one hundred sixty-two million, eight hundred thirty-eight thousand, eighty".