1125951840 has 480 divisors, whose sum is σ = 4410606816. Its totient is φ = 268738560.

The previous prime is 1125951833. The next prime is 1125951851. The reversal of 1125951840 is 481595211.

1125951840 is a `hidden beast` number, since 1 + 12 + 595 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×1125951840³ (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1125951795 and 1125951804.

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, 6907599 + ... + 6907761.

Almost surely, 2^1125951840 is an apocalyptic number.

1125951840 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 1125951840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205303408).

1125951840 is an abundant number, since it is smaller than the sum of its proper divisors (3284654976).

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

1125951840 is a wasteful number, since it uses less digits than its factorization.

1125951840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1125951840 is about 33555.2058554258. The cubic root of 1125951840 is about 1040.3351483944.

The spelling of 1125951840 in words is "one billion, one hundred twenty-five million, nine hundred fifty-one thousand, eight hundred forty".