46220616 has 192 divisors, whose sum is σ = 149385600. Its totient is φ = 12773376.

The previous prime is 46220579. The next prime is 46220617. The reversal of 46220616 is 61602264.

It is a happy number.

46220616 is a `hidden beast` number, since 46 + 2 + 2 + 0 + 616 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 46220616.

It is not an unprimeable number, because it can be changed into a prime (46220617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408976 + ... + 409088.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 2^46220616 is an apocalyptic number.

46220616 is a gapful number since it is divisible by the number (46) 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 46220616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

46220616 is an abundant number, since it is smaller than the sum of its proper divisors (103164984).

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

46220616 is a wasteful number, since it uses less digits than its factorization.

46220616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 46220616 is about 6798.5745564787. The cubic root of 46220616 is about 358.8766837213.

The spelling of 46220616 in words is "forty-six million, two hundred twenty thousand, six hundred sixteen".