10677240 has 192 divisors, whose sum is σ = 41932800. Its totient is φ = 2301696.

The previous prime is 10677239. The next prime is 10677253. The reversal of 10677240 is 4277601.

It is a super-2 number, since 2×10677240² = 228006908035200, 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, 47769 + ... + 47991.

It is an arithmetic number, because the mean of its divisors is an integer number (218400).

Almost surely, 2^10677240 is an apocalyptic number.

10677240 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 10677240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

10677240 is an abundant number, since it is smaller than the sum of its proper divisors (31255560).

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

10677240 is a wasteful number, since it uses less digits than its factorization.

10677240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 10677240 is about 3267.6046272461. The cubic root of 10677240 is about 220.2011933600.

The spelling of 10677240 in words is "ten million, six hundred seventy-seven thousand, two hundred forty".