861985152 has 384 divisors, whose sum is σ = 3047466240. Its totient is φ = 237385728.

The previous prime is 861985139. The next prime is 861985177. The reversal of 861985152 is 251589168.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (172800) is a multiple of the sum of its prime factors (180).

It is a junction number, because it is equal to n+sod(n) for n = 861985098 and 861985107.

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, 8055883 + ... + 8055989.

It is an arithmetic number, because the mean of its divisors is an integer number (7936110).

Almost surely, 2^861985152 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 861985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523733120).

861985152 is an abundant number, since it is smaller than the sum of its proper divisors (2185481088).

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

861985152 is a wasteful number, since it uses less digits than its factorization.

861985152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 861985152 is about 29359.5836482740. The cubic root of 861985152 is about 951.6996910740.

The spelling of 861985152 in words is "eight hundred sixty-one million, nine hundred eighty-five thousand, one hundred fifty-two".