10877000 has 64 divisors (see below), whose sum is σ = 25974000. Its totient is φ = 4262400.

The previous prime is 10876997. The next prime is 10877023. The reversal of 10877000 is 77801.

It can be written as a sum of positive squares in 8 ways, for example, as 196 + 10876804 = 14^2 + 3298^2 .

It is an unprimeable number.

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, 72926 + ... + 73074.

Almost surely, 2^10877000 is an apocalyptic number.

10877000 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 10877000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12987000).

10877000 is an abundant number, since it is smaller than the sum of its proper divisors (15097000).

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

10877000 is a wasteful number, since it uses less digits than its factorization.

10877000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 10877000 is about 3298.0297148449. The cubic root of 10877000 is about 221.5659620073.

The spelling of 10877000 in words is "ten million, eight hundred seventy-seven thousand".