10280816 has 80 divisors (see below), whose sum is σ = 25665024. Its totient is φ = 3877632.

The previous prime is 10280813. The next prime is 10280821. The reversal of 10280816 is 61808201.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10280813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33335 + ... + 33641.

Almost surely, 2^10280816 is an apocalyptic number.

10280816 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 10280816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12832512).

10280816 is an abundant number, since it is smaller than the sum of its proper divisors (15384208).

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

10280816 is a wasteful number, since it uses less digits than its factorization.

10280816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 10280816 is about 3206.3711575549. The cubic root of 10280816 is about 217.4415468059.

The spelling of 10280816 in words is "ten million, two hundred eighty thousand, eight hundred sixteen".