8125440 has 132 divisors (see below), whose sum is σ = 27167784. Its totient is φ = 2072576.

The previous prime is 8125427. The next prime is 8125457. The reversal of 8125440 is 445218.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8125440.

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, 353269 + ... + 353291.

Almost surely, 2^8125440 is an apocalyptic number.

8125440 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 8125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13583892).

8125440 is an abundant number, since it is smaller than the sum of its proper divisors (19042344).

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

8125440 is a wasteful number, since it uses less digits than its factorization.

8125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 8125440 is about 2850.5157428087. The cubic root of 8125440 is about 201.0399168267.

The spelling of 8125440 in words is "eight million, one hundred twenty-five thousand, four hundred forty".