162001600 has 126 divisors (see below), whose sum is σ = 425432220. Its totient is φ = 60549120.

The previous prime is 162001573. The next prime is 162001603. The reversal of 162001600 is 6100261.

162001600 = T₄₁₂₀ + T₄₁₂₁ + ... + T₄₁₃₈.

162001600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (162001603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2219164 + ... + 2219236.

Almost surely, 2^162001600 is an apocalyptic number.

162001600 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 162001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212716110).

162001600 is an abundant number, since it is smaller than the sum of its proper divisors (263430620).

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

162001600 is an equidigital number, since it uses as much as digits as its factorization.

162001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 162001600 is about 12727.9849151388. The cubic root of 162001600 is about 545.1379725307.

Adding to 162001600 its reverse (6100261), we get a palindrome (168101861).

The spelling of 162001600 in words is "one hundred sixty-two million, one thousand, six hundred".