861948 has 48 divisors (see below), whose sum is σ = 2338560. Its totient is φ = 274032.

The previous prime is 861947. The next prime is 861977. The reversal of 861948 is 849168.

It is a happy number.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2311 + ... + 2657.

It is an arithmetic number, because the mean of its divisors is an integer number (48720).

2⁸⁶¹⁹⁴⁸ 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 861948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169280).

861948 is an abundant number, since it is smaller than the sum of its proper divisors (1476612).

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

861948 is a wasteful number, since it uses less digits than its factorization.

861948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 375 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 861948 is about 928.4115466753. The cubic root of 861948 is about 95.1686017963.

The spelling of 861948 in words is "eight hundred sixty-one thousand, nine hundred forty-eight".