861341040 has 400 divisors, whose sum is σ = 3623285952. Its totient is φ = 185131008.

The previous prime is 861341011. The next prime is 861341071. The reversal of 861341040 is 40143168.

861341040 is a `hidden beast` number, since 8 + 613 + 4 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 861340995 and 861341013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 770562 + ... + 771678.

Almost surely, 2^861341040 is an apocalyptic number.

861341040 is a gapful number since it is divisible by the number (80) 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 861341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811642976).

861341040 is an abundant number, since it is smaller than the sum of its proper divisors (2761944912).

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

861341040 is a wasteful number, since it uses less digits than its factorization.

861341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 861341040 is about 29348.6122329489. The cubic root of 861341040 is about 951.4625818306.

The spelling of 861341040 in words is "eight hundred sixty-one million, three hundred forty-one thousand, forty".