162146880 has 336 divisors, whose sum is σ = 667146240. Its totient is φ = 36965376.

The previous prime is 162146863. The next prime is 162146899. The reversal of 162146880 is 88641261.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×162146880² = 52583221387468800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 423169 + ... + 423551.

Almost surely, 2^162146880 is an apocalyptic number.

162146880 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 162146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333573120).

162146880 is an abundant number, since it is smaller than the sum of its proper divisors (504999360).

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

162146880 is a wasteful number, since it uses less digits than its factorization.

162146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 400 counting only the distinct ones).

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

The square root of 162146880 is about 12733.6907454202. The cubic root of 162146880 is about 545.3008803500.

The spelling of 162146880 in words is "one hundred sixty-two million, one hundred forty-six thousand, eight hundred eighty".