10687950 has 240 divisors, whose sum is σ = 37810080. Its totient is φ = 2177280.

The previous prime is 10687949. The next prime is 10687961. The reversal of 10687950 is 5978601.

10687950 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10687950² = 228464550405000, 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 119 ways as a sum of consecutive naturals, for example, 368536 + ... + 368564.

It is an arithmetic number, because the mean of its divisors is an integer number (157542).

Almost surely, 2^10687950 is an apocalyptic number.

10687950 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 10687950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18905040).

10687950 is an abundant number, since it is smaller than the sum of its proper divisors (27122130).

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

10687950 is a wasteful number, since it uses less digits than its factorization.

10687950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 10687950 is about 3269.2430316512. The cubic root of 10687950 is about 220.2747943620.

It can be divided in two parts, 106879 and 50, that added together give a square (106929 = 327²).

The spelling of 10687950 in words is "ten million, six hundred eighty-seven thousand, nine hundred fifty".