8261440 has 56 divisors (see below), whose sum is σ = 21470112. Its totient is φ = 3002880.

The previous prime is 8261419. The next prime is 8261441. The reversal of 8261440 is 441628.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8261441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2347 + ... + 4693.

Almost surely, 2^8261440 is an apocalyptic number.

8261440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8261440 is the 2347-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10735056).

8261440 is an abundant number, since it is smaller than the sum of its proper divisors (13208672).

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

8261440 is a wasteful number, since it uses less digits than its factorization.

8261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 8261440 is about 2874.2720817626. The cubic root of 8261440 is about 202.1553554411.

The spelling of 8261440 in words is "eight million, two hundred sixty-one thousand, four hundred forty".