46764640 has 48 divisors (see below), whose sum is σ = 118985328. Its totient is φ = 17266176.

The previous prime is 46764629. The next prime is 46764649. The reversal of 46764640 is 4646764.

46764640 = 816² + 817² + ... + 880².

It is a self number, because there is not a number n which added to its sum of digits gives 46764640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46764649) 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, 9162 + ... + 13321.

It is an arithmetic number, because the mean of its divisors is an integer number (2478861).

Almost surely, 2^46764640 is an apocalyptic number.

46764640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46764640 is an abundant number, since it is smaller than the sum of its proper divisors (72220688).

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

46764640 is a wasteful number, since it uses less digits than its factorization.

46764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22511 (or 22503 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 46764640 is about 6838.4676646161. The cubic root of 46764640 is about 360.2792072659.

It can be divided in two parts, 4676 and 4640, that added together give a triangular number (9316 = T₁₃₆).

The spelling of 46764640 in words is "forty-six million, seven hundred sixty-four thousand, six hundred forty".