10365840 has 80 divisors (see below), whose sum is σ = 35712000. Its totient is φ = 2763648.

The previous prime is 10365821. The next prime is 10365841. The reversal of 10365840 is 4856301.

10365840 is a `hidden beast` number, since 1 + 0 + 3 + 658 + 4 + 0 = 666.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (10365841) 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 15 ways as a sum of consecutive naturals, for example, 240 + ... + 4559.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 2^10365840 is an apocalyptic number.

10365840 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 10365840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

10365840 is an abundant number, since it is smaller than the sum of its proper divisors (25346160).

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

10365840 is a wasteful number, since it uses less digits than its factorization.

10365840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10365840 is about 3219.6024599320. The cubic root of 10365840 is about 218.0393274166.

The spelling of 10365840 in words is "ten million, three hundred sixty-five thousand, eight hundred forty".