10364640 has 192 divisors, whose sum is σ = 38610432. Its totient is φ = 2304000.

The previous prime is 10364639. The next prime is 10364657. The reversal of 10364640 is 4646301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10364640.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68565 + ... + 68715.

It is an arithmetic number, because the mean of its divisors is an integer number (201096).

Almost surely, 2^10364640 is an apocalyptic number.

10364640 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 10364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

10364640 is an abundant number, since it is smaller than the sum of its proper divisors (28245792).

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

10364640 is a wasteful number, since it uses less digits than its factorization.

10364640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 10364640 is about 3219.4160961267. The cubic root of 10364640 is about 218.0309133279.

The spelling of 10364640 in words is "ten million, three hundred sixty-four thousand, six hundred forty".