1192165920 has 288 divisors, whose sum is σ = 4503268224. Its totient is φ = 284774400.

The previous prime is 1192165913. The next prime is 1192165939. The reversal of 1192165920 is 295612911.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1155805 + ... + 1156835.

It is an arithmetic number, because the mean of its divisors is an integer number (15636348).

Almost surely, 2^1192165920 is an apocalyptic number.

1192165920 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 1192165920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251634112).

1192165920 is an abundant number, since it is smaller than the sum of its proper divisors (3311102304).

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

1192165920 is a wasteful number, since it uses less digits than its factorization.

1192165920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1192165920 is about 34527.7557915368. The cubic root of 1192165920 is about 1060.3410318375.

It can be divided in two parts, 11921 and 65920, that added together give a square (77841 = 279²).

The spelling of 1192165920 in words is "one billion, one hundred ninety-two million, one hundred sixty-five thousand, nine hundred twenty".