861014000 has 160 divisors (see below), whose sum is σ = 2596119552. Its totient is φ = 268320000.

The previous prime is 861013961. The next prime is 861014003. The reversal of 861014000 is 410168.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861014003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151205 + ... + 156795.

Almost surely, 2^861014000 is an apocalyptic number.

861014000 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 861014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298059776).

861014000 is an abundant number, since it is smaller than the sum of its proper divisors (1735105552).

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

861014000 is a wasteful number, since it uses less digits than its factorization.

861014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 861014000 is about 29343.0400606345. The cubic root of 861014000 is about 951.3421472607.

Adding to 861014000 its reverse (410168), we get a palindrome (861424168).

The spelling of 861014000 in words is "eight hundred sixty-one million, fourteen thousand".