46368640 has 64 divisors (see below), whose sum is σ = 113024160. Its totient is φ = 18184192.

The previous prime is 46368611. The next prime is 46368677. The reversal of 46368640 is 4686364.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 46368640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33237 + ... + 34603.

Almost surely, 2^46368640 is an apocalyptic number.

46368640 is a gapful number since it is divisible by the number (40) 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 46368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56512080).

46368640 is an abundant number, since it is smaller than the sum of its proper divisors (66655520).

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

46368640 is a wasteful number, since it uses less digits than its factorization.

46368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 46368640 is about 6809.4522540363. The cubic root of 46368640 is about 359.2593827449.

The spelling of 46368640 in words is "forty-six million, three hundred sixty-eight thousand, six hundred forty".