10420641 has 36 divisors (see below), whose sum is σ = 18922176. Its totient is φ = 5409360.

The previous prime is 10420637. The next prime is 10420687. The reversal of 10420641 is 14602401.

10420641 = 40³ + 41³ + ... + 81³.

10420641 is a `hidden beast` number, since 1 + 0 + 4 + 20 + 641 = 666.

10420641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10420641 - 2² = 10420637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10420441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6940 + ... + 8306.

It is an arithmetic number, because the mean of its divisors is an integer number (525616).

Almost surely, 2^10420641 is an apocalyptic number.

10420641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10420641 is a deficient number, since it is larger than the sum of its proper divisors (8501535).

10420641 is a wasteful number, since it uses less digits than its factorization.

10420641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10420641 is about 3228.1017641952. The cubic root of 10420641 is about 218.4228878521.

The spelling of 10420641 in words is "ten million, four hundred twenty thousand, six hundred forty-one".