8965840 has 80 divisors (see below), whose sum is σ = 23154768. Its totient is φ = 3207168.

The previous prime is 8965829. The next prime is 8965897. The reversal of 8965840 is 485698.

It can be written as a sum of positive squares in 8 ways, for example, as 345744 + 8620096 = 588^2 + 2936^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8965793 and 8965802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38364 + ... + 38596.

Almost surely, 2^8965840 is an apocalyptic number.

8965840 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 8965840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11577384).

8965840 is an abundant number, since it is smaller than the sum of its proper divisors (14188928).

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

8965840 is a wasteful number, since it uses less digits than its factorization.

8965840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 8965840 is about 2994.3012540491. The cubic root of 8965840 is about 207.7448795200.

It can be divided in two parts, 89658 and 40, that added together give a palindrome (89698).

The spelling of 8965840 in words is "eight million, nine hundred sixty-five thousand, eight hundred forty".