46613320 has 64 divisors (see below), whose sum is σ = 119614320. Its totient is φ = 16195584.

The previous prime is 46613317. The next prime is 46613323. The reversal of 46613320 is 2331664.

It is an interprime number because it is at equal distance from previous prime (46613317) and next prime (46613323).

It can be written as a sum of positive squares in 8 ways, for example, as 17690436 + 28922884 = 4206^2 + 5378^2 .

It is not an unprimeable number, because it can be changed into a prime (46613323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6204 + ... + 11476.

Almost surely, 2^46613320 is an apocalyptic number.

46613320 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 46613320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59807160).

46613320 is an abundant number, since it is smaller than the sum of its proper divisors (73001000).

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

46613320 is a wasteful number, since it uses less digits than its factorization.

46613320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 46613320 is about 6827.3948179375. The cubic root of 46613320 is about 359.8901928475.

Adding to 46613320 its reverse (2331664), we get a palindrome (48944984).

The spelling of 46613320 in words is "forty-six million, six hundred thirteen thousand, three hundred twenty".