875946240 has 216 divisors, whose sum is σ = 3264370200. Its totient is φ = 215580672.

The previous prime is 875946221. The next prime is 875946259. The reversal of 875946240 is 42649578.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (875946221) and next prime (875946259).

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 874266624 = 1296^2 + 29568^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 146836 + ... + 152684.

It is an arithmetic number, because the mean of its divisors is an integer number (15112825).

Almost surely, 2^875946240 is an apocalyptic number.

875946240 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 875946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632185100).

875946240 is an abundant number, since it is smaller than the sum of its proper divisors (2388423960).

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

875946240 is a wasteful number, since it uses less digits than its factorization.

875946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 875946240 is about 29596.3889689266. The cubic root of 875946240 is about 956.8102466064.

The spelling of 875946240 in words is "eight hundred seventy-five million, nine hundred forty-six thousand, two hundred forty".