46646064 has 80 divisors (see below), whose sum is σ = 140963200. Its totient is φ = 14727744.

The previous prime is 46646059. The next prime is 46646071. The reversal of 46646064 is 46064664.

It is a happy number.

46646064 is a `hidden beast` number, since 4 + 6 + 646 + 0 + 6 + 4 = 666.

It is a super-3 number, since 3×46646064³ (a number of 24 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5367 + ... + 11049.

It is an arithmetic number, because the mean of its divisors is an integer number (1762040).

Almost surely, 2^46646064 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 46646064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70481600).

46646064 is an abundant number, since it is smaller than the sum of its proper divisors (94317136).

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

46646064 is a wasteful number, since it uses less digits than its factorization.

46646064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 46646064 is about 6829.7923833745. The cubic root of 46646064 is about 359.9744426301.

The spelling of 46646064 in words is "forty-six million, six hundred forty-six thousand, sixty-four".