10838640 has 40 divisors (see below), whose sum is σ = 33600528. Its totient is φ = 2890240.

The previous prime is 10838627. The next prime is 10838651. The reversal of 10838640 is 4683801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10838640² = 234952234099200, which contains 22 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 = 10838598 and 10838607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22341 + ... + 22820.

Almost surely, 2^10838640 is an apocalyptic number.

10838640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10838640 is an abundant number, since it is smaller than the sum of its proper divisors (22761888).

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

10838640 is a wasteful number, since it uses less digits than its factorization.

10838640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45177 (or 45171 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10838640 is about 3292.2089848611. The cubic root of 10838640 is about 221.3051890796.

The spelling of 10838640 in words is "ten million, eight hundred thirty-eight thousand, six hundred forty".