46727616 has 112 divisors (see below), whose sum is σ = 135213344. Its totient is φ = 14155776.

The previous prime is 46727573. The next prime is 46727617. The reversal of 46727616 is 61672764.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46727617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242016 + ... + 242208.

It is an arithmetic number, because the mean of its divisors is an integer number (1207262).

Almost surely, 2^46727616 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 46727616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67606672).

46727616 is an abundant number, since it is smaller than the sum of its proper divisors (88485728).

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

46727616 is a wasteful number, since it uses less digits than its factorization.

46727616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 308 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 46727616 is about 6835.7600894121. The cubic root of 46727616 is about 360.1841033647.

The spelling of 46727616 in words is "forty-six million, seven hundred twenty-seven thousand, six hundred sixteen".