10270820 has 24 divisors (see below), whose sum is σ = 24650304. Its totient is φ = 3521376.

The previous prime is 10270781. The next prime is 10270829. The reversal of 10270820 is 2807201.

10270820 = 231² + 232² + ... + 350².

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10270792 and 10270801.

It is not an unprimeable number, because it can be changed into a prime (10270829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36542 + ... + 36821.

It is an arithmetic number, because the mean of its divisors is an integer number (1027096).

Almost surely, 2^10270820 is an apocalyptic number.

10270820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10270820 is an abundant number, since it is smaller than the sum of its proper divisors (14379484).

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

10270820 is a wasteful number, since it uses less digits than its factorization.

10270820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73379 (or 73377 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 10270820 is about 3204.8120069670. The cubic root of 10270820 is about 217.3710514118.

The spelling of 10270820 in words is "ten million, two hundred seventy thousand, eight hundred twenty".