162961200 has 240 divisors, whose sum is σ = 590438400. Its totient is φ = 42681600.

The previous prime is 162961181. The next prime is 162961207. The reversal of 162961200 is 2169261.

162961200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (162961207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 853105 + ... + 853295.

It is an arithmetic number, because the mean of its divisors is an integer number (2460160).

Almost surely, 2^162961200 is an apocalyptic number.

162961200 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 162961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295219200).

162961200 is an abundant number, since it is smaller than the sum of its proper divisors (427477200).

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

162961200 is a wasteful number, since it uses less digits than its factorization.

162961200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 162961200 is about 12765.6257190942. The cubic root of 162961200 is about 546.2122107119.

The spelling of 162961200 in words is "one hundred sixty-two million, nine hundred sixty-one thousand, two hundred".