46088064 has 96 divisors (see below), whose sum is σ = 144719640. Its totient is φ = 13962240.

The previous prime is 46088057. The next prime is 46088089.

46088064 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10854 + ... + 14490.

Almost surely, 2^46088064 is an apocalyptic number.

46088064 is a gapful number since it is divisible by the number (44) 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 46088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72359820).

46088064 is an abundant number, since it is smaller than the sum of its proper divisors (98631576).

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

46088064 is a wasteful number, since it uses less digits than its factorization.

46088064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 46088064 is about 6788.8190431032. The cubic root of 46088064 is about 358.5332917269.

The spelling of 46088064 in words is "forty-six million, eighty-eight thousand, sixty-four".