873006624 has 288 divisors, whose sum is σ = 2989808640. Its totient is φ = 236390400.

The previous prime is 873006587. The next prime is 873006649. The reversal of 873006624 is 426600378.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3812142 + ... + 3812370.

It is an arithmetic number, because the mean of its divisors is an integer number (10381280).

Almost surely, 2^873006624 is an apocalyptic number.

873006624 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 873006624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494904320).

873006624 is an abundant number, since it is smaller than the sum of its proper divisors (2116802016).

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

873006624 is a wasteful number, since it uses less digits than its factorization.

873006624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 873006624 is about 29546.6854993923. The cubic root of 873006624 is about 955.7387170155.

The spelling of 873006624 in words is "eight hundred seventy-three million, six thousand, six hundred twenty-four".