873874560 has 256 divisors, whose sum is σ = 3032386560. Its totient is φ = 212779008.

The previous prime is 873874553. The next prime is 873874567. The reversal of 873874560 is 65478378.

It is an interprime number because it is at equal distance from previous prime (873874553) and next prime (873874567).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (873874567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3918609 + ... + 3918831.

It is an arithmetic number, because the mean of its divisors is an integer number (11845260).

Almost surely, 2^873874560 is an apocalyptic number.

873874560 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 873874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516193280).

873874560 is an abundant number, since it is smaller than the sum of its proper divisors (2158512000).

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

873874560 is a wasteful number, since it uses less digits than its factorization.

873874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 873874560 is about 29561.3693864137. The cubic root of 873874560 is about 956.0553412989.

The spelling of 873874560 in words is "eight hundred seventy-three million, eight hundred seventy-four thousand, five hundred sixty".