861952 has 72 divisors (see below), whose sum is σ = 2174816. Its totient is φ = 331776.

The previous prime is 861947. The next prime is 861977. The reversal of 861952 is 259168.

It is a super-2 number, since 2×861952² = 1485922500608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

861952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23278 + ... + 23314.

2⁸⁶¹⁹⁵² 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 861952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087408).

861952 is an abundant number, since it is smaller than the sum of its proper divisors (1312864).

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

861952 is a wasteful number, since it uses less digits than its factorization.

861952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 59 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 861952 is about 928.4137008899. The cubic root of 861952 is about 95.1687490109.

It can be divided in two parts, 8 and 61952, that multiplied together give a square (495616 = 704²).

The spelling of 861952 in words is "eight hundred sixty-one thousand, nine hundred fifty-two".