46682640 has 120 divisors (see below), whose sum is σ = 163650240. Its totient is φ = 11903232.

The previous prime is 46682633. The next prime is 46682651. The reversal of 46682640 is 4628664.

It is a happy number.

46682640 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46682595 and 46682604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15151 + ... + 17969.

It is an arithmetic number, because the mean of its divisors is an integer number (1363752).

Almost surely, 2^46682640 is an apocalyptic number.

46682640 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 46682640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81825120).

46682640 is an abundant number, since it is smaller than the sum of its proper divisors (116967600).

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

46682640 is a wasteful number, since it uses less digits than its factorization.

46682640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 46682640 is about 6832.4695389003. The cubic root of 46682640 is about 360.0685054816.

The spelling of 46682640 in words is "forty-six million, six hundred eighty-two thousand, six hundred forty".