863730 has 64 divisors (see below), whose sum is σ = 2638080. Its totient is φ = 196992.

The previous prime is 863729. The next prime is 863743. The reversal of 863730 is 37368.

It is a happy number.

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 = 863694 and 863703.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1662 + ... + 2118.

It is an arithmetic number, because the mean of its divisors is an integer number (41220).

2⁸⁶³⁷³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319040).

863730 is an abundant number, since it is smaller than the sum of its proper divisors (1774350).

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

863730 is a wasteful number, since it uses less digits than its factorization.

863730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 863730 is about 929.3707548659. The cubic root of 863730 is about 95.2341408279.

The spelling of 863730 in words is "eight hundred sixty-three thousand, seven hundred thirty".