874240920 has 432 divisors, whose sum is σ = 3541196880. Its totient is φ = 183202560.

The previous prime is 874240907. The next prime is 874240933. The reversal of 874240920 is 29042478.

It is an interprime number because it is at equal distance from previous prime (874240907) and next prime (874240933).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28201305 + ... + 28201335.

It is an arithmetic number, because the mean of its divisors is an integer number (8197215).

Almost surely, 2^874240920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874240920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770598440).

874240920 is an abundant number, since it is smaller than the sum of its proper divisors (2666955960).

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

874240920 is a wasteful number, since it uses less digits than its factorization.

874240920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 874240920 is about 29567.5653377142. The cubic root of 874240920 is about 956.1889270235.

The spelling of 874240920 in words is "eight hundred seventy-four million, two hundred forty thousand, nine hundred twenty".