861157320 has 128 divisors (see below), whose sum is σ = 2694384000. Its totient is φ = 219914240.

The previous prime is 861157309. The next prime is 861157327. The reversal of 861157320 is 23751168.

861157320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (861157327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454936 + ... + 456824.

It is an arithmetic number, because the mean of its divisors is an integer number (21049875).

Almost surely, 2^861157320 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 861157320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347192000).

861157320 is an abundant number, since it is smaller than the sum of its proper divisors (1833226680).

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

861157320 is a wasteful number, since it uses less digits than its factorization.

861157320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 861157320 is about 29345.4821054281. The cubic root of 861157320 is about 951.3949295198.

The spelling of 861157320 in words is "eight hundred sixty-one million, one hundred fifty-seven thousand, three hundred twenty".