925161120 has 288 divisors, whose sum is σ = 3451632912. Its totient is φ = 224280576.

The previous prime is 925161089. The next prime is 925161143. The reversal of 925161120 is 21161529.

925161120 is a `hidden beast` number, since 9 + 25 + 1 + 611 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 574273296 + 350887824 = 23964^2 + 18732^2 .

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

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, 1366222 + ... + 1366898.

Almost surely, 2^925161120 is an apocalyptic number.

925161120 is a gapful number since it is divisible by the number (90) 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 925161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725816456).

925161120 is an abundant number, since it is smaller than the sum of its proper divisors (2526471792).

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

925161120 is a wasteful number, since it uses less digits than its factorization.

925161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 925161120 is about 30416.4613326403. The cubic root of 925161120 is about 974.4041487524.

It can be divided in two parts, 92516 and 1120, that added together give a square (93636 = 306²).

The spelling of 925161120 in words is "nine hundred twenty-five million, one hundred sixty-one thousand, one hundred twenty".