46868640 has 384 divisors, whose sum is σ = 193052160. Its totient is φ = 9289728.

The previous prime is 46868593. The next prime is 46868651. The reversal of 46868640 is 4686864.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 46868592 and 46868601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1266702 + ... + 1266738.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^46868640 is an apocalyptic number.

46868640 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 46868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

46868640 is an abundant number, since it is smaller than the sum of its proper divisors (146183520).

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

46868640 is a wasteful number, since it uses less digits than its factorization.

46868640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 46868640 is about 6846.0674843300. The cubic root of 46868640 is about 360.5460848041.

The spelling of 46868640 in words is "forty-six million, eight hundred sixty-eight thousand, six hundred forty".