162661200 has 120 divisors (see below), whose sum is σ = 561193248. Its totient is φ = 40035840.

The previous prime is 162661199. The next prime is 162661201. The reversal of 162661200 is 2166261.

It is an interprime number because it is at equal distance from previous prime (162661199) and next prime (162661201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162661201) 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, 10387 + ... + 20813.

Almost surely, 2^162661200 is an apocalyptic number.

162661200 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 162661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280596624).

162661200 is an abundant number, since it is smaller than the sum of its proper divisors (398532048).

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

162661200 is a wasteful number, since it uses less digits than its factorization.

162661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10461 (or 10450 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 162661200 is about 12753.8700009056. The cubic root of 162661200 is about 545.8768255201.

It can be divided in two parts, 1626 and 61200, that added together give a palindrome (62826).

The spelling of 162661200 in words is "one hundred sixty-two million, six hundred sixty-one thousand, two hundred".