10420000 has 60 divisors (see below), whose sum is σ = 25683966. Its totient is φ = 4160000.

The previous prime is 10419991. The next prime is 10420001. The reversal of 10420000 is 2401.

It can be written as a sum of positive squares in 5 ways, for example, as 16 + 10419984 = 4^2 + 3228^2 .

It is not an unprimeable number, because it can be changed into a prime (10420001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19740 + ... + 20260.

Almost surely, 2^10420000 is an apocalyptic number.

10420000 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 10420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12841983).

10420000 is an abundant number, since it is smaller than the sum of its proper divisors (15263966).

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

10420000 is an frugal number, since it uses more digits than its factorization.

10420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 10420000 is about 3228.0024783138. The cubic root of 10420000 is about 218.4184091787.

Adding to 10420000 its reverse (2401), we get a palindrome (10422401).

The spelling of 10420000 in words is "ten million, four hundred twenty thousand".