46956006 has 48 divisors (see below), whose sum is σ = 108467424. Its totient is φ = 14629632.

The previous prime is 46955981. The next prime is 46956037. The reversal of 46956006 is 60065964.

It is a happy number.

46956006 is a `hidden beast` number, since 46 + 9 + 5 + 600 + 6 = 666.

It is a congruent number.

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, 52495 + ... + 53381.

It is an arithmetic number, because the mean of its divisors is an integer number (2259738).

Almost surely, 2^46956006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46956006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54233712).

46956006 is an abundant number, since it is smaller than the sum of its proper divisors (61511418).

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

46956006 is a wasteful number, since it uses less digits than its factorization.

46956006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 46956006 is about 6852.4452569867. The cubic root of 46956006 is about 360.7699723700.

It can be divided in two parts, 4695 and 6006, that added together give a palindrome (10701).

The spelling of 46956006 in words is "forty-six million, nine hundred fifty-six thousand, six".