10678440 has 128 divisors (see below), whose sum is σ = 34525440. Its totient is φ = 2635776.

The previous prime is 10678433. The next prime is 10678453. The reversal of 10678440 is 4487601.

It is a super-2 number, since 2×10678440² = 228058161667200, 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 = 10678398 and 10678407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146244 + ... + 146316.

It is an arithmetic number, because the mean of its divisors is an integer number (269730).

Almost surely, 2^10678440 is an apocalyptic number.

10678440 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 10678440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17262720).

10678440 is an abundant number, since it is smaller than the sum of its proper divisors (23847000).

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

10678440 is a wasteful number, since it uses less digits than its factorization.

10678440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 10678440 is about 3267.7882428334. The cubic root of 10678440 is about 220.2094424185.

The spelling of 10678440 in words is "ten million, six hundred seventy-eight thousand, four hundred forty".