875024640 has 288 divisors, whose sum is σ = 3549692160. Its totient is φ = 199950336.

The previous prime is 875024639. The next prime is 875024659. The reversal of 875024640 is 46420578.

875024640 is a `hidden beast` number, since 8 + 7 + 5 + 0 + 2 + 4 + 640 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 875024595 and 875024604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240112 + ... + 243728.

It is an arithmetic number, because the mean of its divisors is an integer number (12325320).

Almost surely, 2^875024640 is an apocalyptic number.

875024640 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 875024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774846080).

875024640 is an abundant number, since it is smaller than the sum of its proper divisors (2674667520).

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

875024640 is a wasteful number, since it uses less digits than its factorization.

875024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 875024640 is about 29580.8154045827. The cubic root of 875024640 is about 956.4745693256.

The spelling of 875024640 in words is "eight hundred seventy-five million, twenty-four thousand, six hundred forty".