10413984 has 48 divisors (see below), whose sum is σ = 31243968. Its totient is φ = 2975232.

The previous prime is 10413973. The next prime is 10414003. The reversal of 10413984 is 48931401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7077 + ... + 8420.

It is an arithmetic number, because the mean of its divisors is an integer number (650916).

Almost surely, 2^10413984 is an apocalyptic number.

10413984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10413984 is an abundant number, since it is smaller than the sum of its proper divisors (20829984).

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

10413984 is a wasteful number, since it uses less digits than its factorization.

10413984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15517 (or 15509 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10413984 is about 3227.0704981453. The cubic root of 10413984 is about 218.3763663729.

The spelling of 10413984 in words is "ten million, four hundred thirteen thousand, nine hundred eighty-four".