10477890 has 64 divisors (see below), whose sum is σ = 28235520. Its totient is φ = 2764800.

The previous prime is 10477889. The next prime is 10477891. The reversal of 10477890 is 9877401.

10477890 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 an interprime number because it is at equal distance from previous prime (10477889) and next prime (10477891).

It is not an unprimeable number, because it can be changed into a prime (10477891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40642 + ... + 40898.

It is an arithmetic number, because the mean of its divisors is an integer number (441180).

Almost surely, 2^10477890 is an apocalyptic number.

10477890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10477890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14117760).

10477890 is an abundant number, since it is smaller than the sum of its proper divisors (17757630).

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

10477890 is a wasteful number, since it uses less digits than its factorization.

10477890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 10477890 is about 3236.9569042544. The cubic root of 10477890 is about 218.8221487181.

The spelling of 10477890 in words is "ten million, four hundred seventy-seven thousand, eight hundred ninety".