10267950 has 144 divisors (see below), whose sum is σ = 32569344. Its totient is φ = 2116800.

The previous prime is 10267937. The next prime is 10267973. The reversal of 10267950 is 5976201.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80787 + ... + 80913.

It is an arithmetic number, because the mean of its divisors is an integer number (226176).

Almost surely, 2^10267950 is an apocalyptic number.

10267950 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 10267950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284672).

10267950 is an abundant number, since it is smaller than the sum of its proper divisors (22301394).

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

10267950 is a wasteful number, since it uses less digits than its factorization.

10267950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 10267950 is about 3204.3642115090. The cubic root of 10267950 is about 217.3508026866.

The spelling of 10267950 in words is "ten million, two hundred sixty-seven thousand, nine hundred fifty".