10466820 has 240 divisors, whose sum is σ = 40981248. Its totient is φ = 2177280.

The previous prime is 10466801. The next prime is 10466821. The reversal of 10466820 is 2866401.

10466820 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 Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10466821) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 147385 + ... + 147455.

Almost surely, 2^10466820 is an apocalyptic number.

10466820 is a gapful number since it is divisible by the number (10) 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 10466820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490624).

10466820 is an abundant number, since it is smaller than the sum of its proper divisors (30514428).

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

10466820 is a wasteful number, since it uses less digits than its factorization.

10466820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10466820 is about 3235.2465130188. The cubic root of 10466820 is about 218.7450589360.

The spelling of 10466820 in words is "ten million, four hundred sixty-six thousand, eight hundred twenty".