874991040 has 672 divisors, whose sum is σ = 3752697600. Its totient is φ = 170311680.

The previous prime is 874991023. The next prime is 874991041. The reversal of 874991040 is 40199478.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 874990983 and 874991001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874991041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9831316 + ... + 9831404.

Almost surely, 2^874991040 is an apocalyptic number.

874991040 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 874991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876348800).

874991040 is an abundant number, since it is smaller than the sum of its proper divisors (2877706560).

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

874991040 is a wasteful number, since it uses less digits than its factorization.

874991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 874991040 is about 29580.2474634679. The cubic root of 874991040 is about 956.4623266392.

The spelling of 874991040 in words is "eight hundred seventy-four million, nine hundred ninety-one thousand, forty".