861376 has 28 divisors (see below), whose sum is σ = 1754632. Its totient is φ = 419328.

The previous prime is 861361. The next prime is 861391. The reversal of 861376 is 673168.

It is an interprime number because it is at equal distance from previous prime (861361) and next prime (861391).

It is a super-2 number, since 2×861376² = 1483937226752, which contains 22 as substring.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 2596 + ... + 2908.

2⁸⁶¹³⁷⁶ is an apocalyptic number.

861376 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877316).

861376 is an abundant number, since it is smaller than the sum of its proper divisors (893256).

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

861376 is a wasteful number, since it uses less digits than its factorization.

861376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 861376 is about 928.1034425106. The cubic root of 861376 is about 95.1475454270.

It can be divided in two parts, 86 and 1376, that multiplied together give a square (118336 = 344²).

The spelling of 861376 in words is "eight hundred sixty-one thousand, three hundred seventy-six".