10615640 has 64 divisors (see below), whose sum is σ = 28200960. Its totient is φ = 3519360.

The previous prime is 10615637. The next prime is 10615643. The reversal of 10615640 is 4651601.

It is an interprime number because it is at equal distance from previous prime (10615637) and next prime (10615643).

It is a super-2 number, since 2×10615640² = 225383625219200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10615643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8069 + ... + 9291.

It is an arithmetic number, because the mean of its divisors is an integer number (440640).

Almost surely, 2^10615640 is an apocalyptic number.

10615640 is a gapful number since it is divisible by the number (10) 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 10615640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100480).

10615640 is an abundant number, since it is smaller than the sum of its proper divisors (17585320).

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

10615640 is a wasteful number, since it uses less digits than its factorization.

10615640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 10615640 is about 3258.1651277982. The cubic root of 10615640 is about 219.7769088369.

The spelling of 10615640 in words is "ten million, six hundred fifteen thousand, six hundred forty".