8882640 has 180 divisors, whose sum is σ = 32744556. Its totient is φ = 2156544.

The previous prime is 8882611. The next prime is 8882651. The reversal of 8882640 is 462888.

8882640 = T₂₅₀ + T₂₅₁ + ... + T₄₀₉.

8882640 is a `hidden beast` number, since 8 + 8 + 8 + 2 + 640 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1527696 + 7354944 = 1236^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 8882595 and 8882604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121644 + ... + 121716.

Almost surely, 2^8882640 is an apocalyptic number.

8882640 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 8882640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16372278).

8882640 is an abundant number, since it is smaller than the sum of its proper divisors (23861916).

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

8882640 is a wasteful number, since it uses less digits than its factorization.

8882640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8882640 is about 2980.3758152287. The cubic root of 8882640 is about 207.1002804741.

It can be divided in two parts, 88 and 82640, that added together give a palindrome (82728).

The spelling of 8882640 in words is "eight million, eight hundred eighty-two thousand, six hundred forty".