10677440 has 56 divisors (see below), whose sum is σ = 25889712. Its totient is φ = 4193280.

The previous prime is 10677439. The next prime is 10677461. The reversal of 10677440 is 4477601.

It is a happy number.

It is a super-2 number, since 2×10677440² = 228015449907200, which contains 22 as substring.

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, 19247 + ... + 19793.

Almost surely, 2^10677440 is an apocalyptic number.

10677440 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 10677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12944856).

10677440 is an abundant number, since it is smaller than the sum of its proper divisors (15212272).

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

10677440 is an equidigital number, since it uses as much as digits as its factorization.

10677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 10677440 is about 3267.6352305605. The cubic root of 10677440 is about 220.2025682460.

The spelling of 10677440 in words is "ten million, six hundred seventy-seven thousand, four hundred forty".