10677870 has 96 divisors (see below), whose sum is σ = 33628608. Its totient is φ = 2294784.

The previous prime is 10677859. The next prime is 10677881. The reversal of 10677870 is 7877601.

It is an interprime number because it is at equal distance from previous prime (10677859) and next prime (10677881).

It is a super-2 number, since 2×10677870² = 228033815473800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10212 + ... + 11208.

It is an arithmetic number, because the mean of its divisors is an integer number (350298).

Almost surely, 2^10677870 is an apocalyptic number.

10677870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10677870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16814304).

10677870 is an abundant number, since it is smaller than the sum of its proper divisors (22950738).

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

10677870 is a wasteful number, since it uses less digits than its factorization.

10677870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 10677870 is about 3267.7010267159. The cubic root of 10677870 is about 220.2055241928.

The spelling of 10677870 in words is "ten million, six hundred seventy-seven thousand, eight hundred seventy".