10401864 has 96 divisors (see below), whose sum is σ = 30028320. Its totient is φ = 2976000.

The previous prime is 10401863. The next prime is 10401883. The reversal of 10401864 is 46810401.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253684 + ... + 253724.

It is an arithmetic number, because the mean of its divisors is an integer number (312795).

Almost surely, 2^10401864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10401864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014160).

10401864 is an abundant number, since it is smaller than the sum of its proper divisors (19626456).

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

10401864 is a wasteful number, since it uses less digits than its factorization.

10401864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10401864 is about 3225.1920873027. The cubic root of 10401864 is about 218.2916165789.

The spelling of 10401864 in words is "ten million, four hundred one thousand, eight hundred sixty-four".