46968 has 32 divisors (see below), whose sum is σ = 124800. Its totient is φ = 14688.

The previous prime is 46957. The next prime is 46993. The reversal of 46968 is 86964.

It is a nialpdrome in base 15.

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, 405 + ... + 507.

It is an arithmetic number, because the mean of its divisors is an integer number (3900).

2⁴⁶⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62400).

46968 is an abundant number, since it is smaller than the sum of its proper divisors (77832).

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

46968 is a wasteful number, since it uses less digits than its factorization.

46968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 46968 is about 216.7210188237. The cubic root of 46968 is about 36.0800686983.

It can be divided in two parts, 4 and 6968, that multiplied together give a palindrome (27872).

The spelling of 46968 in words is "forty-six thousand, nine hundred sixty-eight".