10249776 has 120 divisors (see below), whose sum is σ = 31337280. Its totient is φ = 3115008.

The previous prime is 10249751. The next prime is 10249787. The reversal of 10249776 is 67794201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10249776.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129705 + ... + 129783.

It is an arithmetic number, because the mean of its divisors is an integer number (261144).

Almost surely, 2^10249776 is an apocalyptic number.

10249776 is a gapful number since it is divisible by the number (16) 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 10249776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668640).

10249776 is an abundant number, since it is smaller than the sum of its proper divisors (21087504).

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

10249776 is a wasteful number, since it uses less digits than its factorization.

10249776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 10249776 is about 3201.5271356026. The cubic root of 10249776 is about 217.2224918967. Note that the first 3 decimals are identical.

It can be divided in two parts, 10249 and 776, that added together give a square (11025 = 105²).

The spelling of 10249776 in words is "ten million, two hundred forty-nine thousand, seven hundred seventy-six".