10867920 has 80 divisors (see below), whose sum is σ = 38509440. Its totient is φ = 2483712.

The previous prime is 10867919. The next prime is 10867921. The reversal of 10867920 is 2976801.

It is an interprime number because it is at equal distance from previous prime (10867919) and next prime (10867921).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10867920² = 236223370252800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10867921) 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, 1555 + ... + 4914.

It is an arithmetic number, because the mean of its divisors is an integer number (481368).

Almost surely, 2^10867920 is an apocalyptic number.

10867920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10867920 is an abundant number, since it is smaller than the sum of its proper divisors (27641520).

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

10867920 is a wasteful number, since it uses less digits than its factorization.

10867920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 10867920 is about 3296.6528479656. The cubic root of 10867920 is about 221.5042912338.

The spelling of 10867920 in words is "ten million, eight hundred sixty-seven thousand, nine hundred twenty".