162961920 has 240 divisors, whose sum is σ = 616648032. Its totient is φ = 39444480.

The previous prime is 162961919. The next prime is 162961979. The reversal of 162961920 is 29169261.

162961920 is a `hidden beast` number, since 1 + 629 + 6 + 1 + 9 + 20 = 666.

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253119 + ... + 253761.

Almost surely, 2^162961920 is an apocalyptic number.

162961920 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 162961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308324016).

162961920 is an abundant number, since it is smaller than the sum of its proper divisors (453686112).

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

162961920 is a wasteful number, since it uses less digits than its factorization.

162961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 162961920 is about 12765.6539197959. The cubic root of 162961920 is about 546.2130151410.

The spelling of 162961920 in words is "one hundred sixty-two million, nine hundred sixty-one thousand, nine hundred twenty".