10274784 has 48 divisors (see below), whose sum is σ = 29049552. Its totient is φ = 3161088.

The previous prime is 10274773. The next prime is 10274809. The reversal of 10274784 is 48747201.

10274784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2869 + ... + 5364.

It is an arithmetic number, because the mean of its divisors is an integer number (605199).

Almost surely, 2^10274784 is an apocalyptic number.

It is an amenable number.

10274784 is an abundant number, since it is smaller than the sum of its proper divisors (18774768).

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

10274784 is a wasteful number, since it uses less digits than its factorization.

10274784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 10274784 is about 3205.4303923186. The cubic root of 10274784 is about 217.3990124386.

It can be divided in two parts, 102747 and 84, that added together give a triangular number (102831 = T₄₅₃).

The spelling of 10274784 in words is "ten million, two hundred seventy-four thousand, seven hundred eighty-four".