10410640 has 40 divisors (see below), whose sum is σ = 24373440. Its totient is φ = 4135296.

The previous prime is 10410629. The next prime is 10410643. The reversal of 10410640 is 4601401.

It is a happy number.

10410640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10410643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13957 + ... + 14683.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 2^10410640 is an apocalyptic number.

10410640 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 10410640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720).

10410640 is an abundant number, since it is smaller than the sum of its proper divisors (13962800).

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

10410640 is a wasteful number, since it uses less digits than its factorization.

10410640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10410640 is about 3226.5523395724. The cubic root of 10410640 is about 218.3529898327.

The spelling of 10410640 in words is "ten million, four hundred ten thousand, six hundred forty".