1092157920 has 288 divisors, whose sum is σ = 4307179968. Its totient is φ = 246841344.

The previous prime is 1092157901. The next prime is 1092157933. The reversal of 1092157920 is 297512901.

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 a congruent number.

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, 977202 + ... + 978318.

It is an arithmetic number, because the mean of its divisors is an integer number (14955486).

Almost surely, 2^1092157920 is an apocalyptic number.

1092157920 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 1092157920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153589984).

1092157920 is an abundant number, since it is smaller than the sum of its proper divisors (3215022048).

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

1092157920 is a wasteful number, since it uses less digits than its factorization.

1092157920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1092157920 is about 33047.8126356344. The cubic root of 1092157920 is about 1029.8211647913.

The spelling of 1092157920 in words is "one billion, ninety-two million, one hundred fifty-seven thousand, nine hundred twenty".