874344960 has 240 divisors, whose sum is σ = 3061217016. Its totient is φ = 230621184.

The previous prime is 874344949. The next prime is 874344971. The reversal of 874344960 is 69443478.

It is an interprime number because it is at equal distance from previous prime (874344949) and next prime (874344971).

It can be written as a sum of positive squares in 4 ways, for example, as 596922624 + 277422336 = 24432^2 + 16656^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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, 3156342 + ... + 3156618.

Almost surely, 2^874344960 is an apocalyptic number.

874344960 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 874344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530608508).

874344960 is an abundant number, since it is smaller than the sum of its proper divisors (2186872056).

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

874344960 is a wasteful number, since it uses less digits than its factorization.

874344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 874344960 is about 29569.3246456526. The cubic root of 874344960 is about 956.2268562898.

The spelling of 874344960 in words is "eight hundred seventy-four million, three hundred forty-four thousand, nine hundred sixty".