8893440 has 132 divisors (see below), whose sum is σ = 30975204. Its totient is φ = 2359296.

The previous prime is 8893427. The next prime is 8893457. The reversal of 8893440 is 443988.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 6230016 = 1632^2 + 2496^2 .

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 = 8893395 and 8893404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45984 + ... + 46176.

Almost surely, 2^8893440 is an apocalyptic number.

8893440 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 8893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15487602).

8893440 is an abundant number, since it is smaller than the sum of its proper divisors (22081764).

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

8893440 is a wasteful number, since it uses less digits than its factorization.

8893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8893440 is about 2982.1871168657. The cubic root of 8893440 is about 207.1841810993.

It can be divided in two parts, 88 and 93440, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 8893440 in words is "eight million, eight hundred ninety-three thousand, four hundred forty".