162025920 has 560 divisors, whose sum is σ = 708111360. Its totient is φ = 34338816.

The previous prime is 162025889. The next prime is 162025937. The reversal of 162025920 is 29520261.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3447337 + ... + 3447383.

Almost surely, 2^162025920 is an apocalyptic number.

162025920 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 162025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354055680).

162025920 is an abundant number, since it is smaller than the sum of its proper divisors (546085440).

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

162025920 is a wasteful number, since it uses less digits than its factorization.

162025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 162025920 is about 12728.9402543967. The cubic root of 162025920 is about 545.1652502287.

It can be divided in two parts, 16202 and 5920, that added together give a palindrome (22122).

The spelling of 162025920 in words is "one hundred sixty-two million, twenty-five thousand, nine hundred twenty".