8695440 has 120 divisors (see below), whose sum is σ = 31482360. Its totient is φ = 2138112.

The previous prime is 8695433. The next prime is 8695457. The reversal of 8695440 is 445968.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 8363664 = 576^2 + 2892^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×8695440² = 151221353587200, which contains 22 as substring.

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 = 8695395 and 8695404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8896 + ... + 9824.

It is an arithmetic number, because the mean of its divisors is an integer number (262353).

Almost surely, 2^8695440 is an apocalyptic number.

8695440 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 8695440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15741180).

8695440 is an abundant number, since it is smaller than the sum of its proper divisors (22786920).

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

8695440 is a wasteful number, since it uses less digits than its factorization.

8695440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8695440 is about 2948.8031470412. The cubic root of 8695440 is about 205.6350720146.

The spelling of 8695440 in words is "eight million, six hundred ninety-five thousand, four hundred forty".