863694720 has 384 divisors, whose sum is σ = 3523553280. Its totient is φ = 190771200.

The previous prime is 863694719. The next prime is 863694721. The reversal of 863694720 is 27496368.

863694720 is a `hidden beast` number, since 8 + 636 + 9 + 4 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (863694719) and next prime (863694721).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863694721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249575 + ... + 1250265.

It is an arithmetic number, because the mean of its divisors is an integer number (9175920).

Almost surely, 2^863694720 is an apocalyptic number.

863694720 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 863694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761776640).

863694720 is an abundant number, since it is smaller than the sum of its proper divisors (2659858560).

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

863694720 is a wasteful number, since it uses less digits than its factorization.

863694720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 863694720 is about 29388.6835363546. The cubic root of 863694720 is about 952.3284416254.

The spelling of 863694720 in words is "eight hundred sixty-three million, six hundred ninety-four thousand, seven hundred twenty".