46561620 has 96 divisors (see below), whose sum is σ = 151603200. Its totient is φ = 10456704.

The previous prime is 46561607. The next prime is 46561633. The reversal of 46561620 is 2616564.

46561620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46561607) and next prime (46561633).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23841 + ... + 25719.

It is an arithmetic number, because the mean of its divisors is an integer number (1579200).

Almost surely, 2^46561620 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 46561620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75801600).

46561620 is an abundant number, since it is smaller than the sum of its proper divisors (105041580).

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

46561620 is a wasteful number, since it uses less digits than its factorization.

46561620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 46561620 is about 6823.6075502625. The cubic root of 46561620 is about 359.7570892187.

The spelling of 46561620 in words is "forty-six million, five hundred sixty-one thousand, six hundred twenty".