861527940 has 192 divisors, whose sum is σ = 3071900160. Its totient is φ = 175472640.

The previous prime is 861527939. The next prime is 861528013. The reversal of 861527940 is 49725168.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 861527892 and 861527901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155620 + ... + 161060.

It is an arithmetic number, because the mean of its divisors is an integer number (15999480).

Almost surely, 2^861527940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861527940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535950080).

861527940 is an abundant number, since it is smaller than the sum of its proper divisors (2210372220).

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

861527940 is a wasteful number, since it uses less digits than its factorization.

861527940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 861527940 is about 29351.7961971665. The cubic root of 861527940 is about 951.5313952613.

The spelling of 861527940 in words is "eight hundred sixty-one million, five hundred twenty-seven thousand, nine hundred forty".