10254816 has 192 divisors, whose sum is σ = 35562240. Its totient is φ = 2833920.

The previous prime is 10254799. The next prime is 10254841. The reversal of 10254816 is 61845201.

10254816 is a `hidden beast` number, since 102 + 548 + 16 = 666.

10254816 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 2×10254816² = 210322502387712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10254816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123511 + ... + 123593.

It is an arithmetic number, because the mean of its divisors is an integer number (185220).

Almost surely, 2^10254816 is an apocalyptic number.

10254816 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 10254816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

10254816 is an abundant number, since it is smaller than the sum of its proper divisors (25307424).

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

10254816 is a wasteful number, since it uses less digits than its factorization.

10254816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10254816 is about 3202.3141632263. The cubic root of 10254816 is about 217.2580901368.

The spelling of 10254816 in words is "ten million, two hundred fifty-four thousand, eight hundred sixteen".