873091440 has 640 divisors, whose sum is σ = 3599769600. Its totient is φ = 192430080.

The previous prime is 873091421. The next prime is 873091459. The reversal of 873091440 is 44190378.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (873091421) and next prime (873091459).

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 = 873091395 and 873091404.

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 127 ways as a sum of consecutive naturals, for example, 14798131 + ... + 14798189.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^873091440 is an apocalyptic number.

873091440 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 873091440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799884800).

873091440 is an abundant number, since it is smaller than the sum of its proper divisors (2726678160).

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

873091440 is a wasteful number, since it uses less digits than its factorization.

873091440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 873091440 is about 29548.1207524269. The cubic root of 873091440 is about 955.7696672618.

The spelling of 873091440 in words is "eight hundred seventy-three million, ninety-one thousand, four hundred forty".