10359840 has 96 divisors (see below), whose sum is σ = 33094656. Its totient is φ = 2723840.

The previous prime is 10359799. The next prime is 10359841. The reversal of 10359840 is 4895301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10359840³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10359798 and 10359807.

It is not an unprimeable number, because it can be changed into a prime (10359841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54145 + ... + 54335.

It is an arithmetic number, because the mean of its divisors is an integer number (344736).

Almost surely, 2^10359840 is an apocalyptic number.

10359840 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 10359840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328).

10359840 is an abundant number, since it is smaller than the sum of its proper divisors (22734816).

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

10359840 is a wasteful number, since it uses less digits than its factorization.

10359840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 10359840 is about 3218.6705329996. The cubic root of 10359840 is about 217.9972504773.

The spelling of 10359840 in words is "ten million, three hundred fifty-nine thousand, eight hundred forty".