46116720 has 180 divisors, whose sum is σ = 168147720. Its totient is φ = 11321856.

The previous prime is 46116713. The next prime is 46116727. The reversal of 46116720 is 2761164.

It is an interprime number because it is at equal distance from previous prime (46116713) and next prime (46116727).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46116727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121491 + ... + 121869.

It is an arithmetic number, because the mean of its divisors is an integer number (934154).

Almost surely, 2^46116720 is an apocalyptic number.

46116720 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 46116720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84073860).

46116720 is an abundant number, since it is smaller than the sum of its proper divisors (122031000).

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

46116720 is a wasteful number, since it uses less digits than its factorization.

46116720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 46116720 is about 6790.9292442198. The cubic root of 46116720 is about 358.6075842912.

Adding to 46116720 its reverse (2761164), we get a palindrome (48877884).

The spelling of 46116720 in words is "forty-six million, one hundred sixteen thousand, seven hundred twenty".