46686640 has 240 divisors, whose sum is σ = 149615424. Its totient is φ = 13178880.

The previous prime is 46686593. The next prime is 46686643. The reversal of 46686640 is 4668664.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 46686593 and 46686602.

It is not an unprimeable number, because it can be changed into a prime (46686643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880854 + ... + 880906.

Almost surely, 2^46686640 is an apocalyptic number.

46686640 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 46686640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807712).

46686640 is an abundant number, since it is smaller than the sum of its proper divisors (102928784).

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

46686640 is a wasteful number, since it uses less digits than its factorization.

46686640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 46686640 is about 6832.7622525594. The cubic root of 46686640 is about 360.0787893393.

It can be divided in two parts, 46 and 686640, that added together give a palindrome (686686).

The spelling of 46686640 in words is "forty-six million, six hundred eighty-six thousand, six hundred forty".