873512640 has 896 divisors, whose sum is σ = 4178442240. Its totient is φ = 165888000.

The previous prime is 873512617. The next prime is 873512657. The reversal of 873512640 is 46215378.

873512640 is a `hidden beast` number, since 8 + 7 + 3 + 5 + 1 + 2 + 640 = 666.

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 = 873512595 and 873512604.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8648590 + ... + 8648690.

It is an arithmetic number, because the mean of its divisors is an integer number (4663440).

Almost surely, 2^873512640 is an apocalyptic number.

873512640 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 873512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089221120).

873512640 is an abundant number, since it is smaller than the sum of its proper divisors (3304929600).

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

873512640 is a wasteful number, since it uses less digits than its factorization.

873512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 873512640 is about 29555.2472498540. The cubic root of 873512640 is about 955.9233378650.

The spelling of 873512640 in words is "eight hundred seventy-three million, five hundred twelve thousand, six hundred forty".