863244564 has 288 divisors, whose sum is σ = 2730067200. Its totient is φ = 211341312.

The previous prime is 863244559. The next prime is 863244587. The reversal of 863244564 is 465442368.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (552960) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11825232 + ... + 11825304.

It is an arithmetic number, because the mean of its divisors is an integer number (9479400).

Almost surely, 2^863244564 is an apocalyptic number.

863244564 is a gapful number since it is divisible by the number (84) 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 863244564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365033600).

863244564 is an abundant number, since it is smaller than the sum of its proper divisors (1866822636).

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

863244564 is a wasteful number, since it uses less digits than its factorization.

863244564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The square root of 863244564 is about 29381.0238759646. The cubic root of 863244564 is about 952.1629622988.

The spelling of 863244564 in words is "eight hundred sixty-three million, two hundred forty-four thousand, five hundred sixty-four".