10736850 has 48 divisors (see below), whose sum is σ = 27498240. Its totient is φ = 2769600.

The previous prime is 10736849. The next prime is 10736851. The reversal of 10736850 is 5863701.

10736850 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 an interprime number because it is at equal distance from previous prime (10736849) and next prime (10736851).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10736851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3496 + ... + 5804.

It is an arithmetic number, because the mean of its divisors is an integer number (572880).

Almost surely, 2^10736850 is an apocalyptic number.

10736850 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 10736850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

10736850 is an abundant number, since it is smaller than the sum of its proper divisors (16761390).

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

10736850 is a wasteful number, since it uses less digits than its factorization.

10736850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10736850 is about 3276.7132923098. The cubic root of 10736850 is about 220.6102204493.

The spelling of 10736850 in words is "ten million, seven hundred thirty-six thousand, eight hundred fifty".