8874000 has 240 divisors, whose sum is σ = 33948720. Its totient is φ = 2150400.

The previous prime is 8873989. The next prime is 8874011. The reversal of 8874000 is 4788.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8873989) and next prime (8874011).

It can be written as a sum of positive squares in 8 ways, for example, as 1648656 + 7225344 = 1284^2 + 2688^2 .

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

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305986 + ... + 306014.

It is an arithmetic number, because the mean of its divisors is an integer number (141453).

Almost surely, 2^8874000 is an apocalyptic number.

8874000 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 8874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16974360).

8874000 is an abundant number, since it is smaller than the sum of its proper divisors (25074720).

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

8874000 is a wasteful number, since it uses less digits than its factorization.

8874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8874000 is about 2978.9259809535. The cubic root of 8874000 is about 207.0331109955.

Adding to 8874000 its reverse (4788), we get a palindrome (8878788).

It can be divided in two parts, 88 and 74000, that added together give a cube (74088 = 42³).

The spelling of 8874000 in words is "eight million, eight hundred seventy-four thousand".