46084560 has 80 divisors (see below), whose sum is σ = 145597824. Its totient is φ = 12054016.

The previous prime is 46084559. The next prime is 46084561. The reversal of 46084560 is 6548064.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46084559) and next prime (46084561).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46084561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10909 + ... + 14531.

Almost surely, 2^46084560 is an apocalyptic number.

46084560 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 46084560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72798912).

46084560 is an abundant number, since it is smaller than the sum of its proper divisors (99513264).

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

46084560 is a wasteful number, since it uses less digits than its factorization.

46084560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 46084560 is about 6788.5609668029. The cubic root of 46084560 is about 358.5242052637.

The spelling of 46084560 in words is "forty-six million, eighty-four thousand, five hundred sixty".