920160 has 120 divisors (see below), whose sum is σ = 3293136. Its totient is φ = 241920.

The previous prime is 920149. The next prime is 920167. The reversal of 920160 is 61029.

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920167) by changing a digit.

920160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12925 + ... + 12995.

2⁹²⁰¹⁶⁰ is an apocalyptic number.

920160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

920160 is the 480-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646568).

920160 is an abundant number, since it is smaller than the sum of its proper divisors (2372976).

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

920160 is a wasteful number, since it uses less digits than its factorization.

920160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 920160 is about 959.2497068021. The cubic root of 920160 is about 97.2645204912.

Adding to 920160 its reverse (61029), we get a palindrome (981189).

It can be divided in two parts, 9201 and 60, that added together give a cube (9261 = 21³).

The spelling of 920160 in words is "nine hundred twenty thousand, one hundred sixty".