46701680 has 40 divisors (see below), whose sum is σ = 110214672. Its totient is φ = 18399744.

The previous prime is 46701671. The next prime is 46701709. The reversal of 46701680 is 8610764.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1004 + ... + 9716.

Almost surely, 2^46701680 is an apocalyptic number.

46701680 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 46701680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55107336).

46701680 is an abundant number, since it is smaller than the sum of its proper divisors (63512992).

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

46701680 is a wasteful number, since it uses less digits than its factorization.

46701680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8793 (or 8787 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 46701680 is about 6833.8627437197. The cubic root of 46701680 is about 360.1174513888.

The spelling of 46701680 in words is "forty-six million, seven hundred one thousand, six hundred eighty".