46537632 has 96 divisors (see below), whose sum is σ = 138116160. Its totient is φ = 15240960.

The previous prime is 46537591. The next prime is 46537633. The reversal of 46537632 is 23673564.

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 not an unprimeable number, because it can be changed into a prime (46537633) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52263 + ... + 53145.

It is an arithmetic number, because the mean of its divisors is an integer number (1438710).

Almost surely, 2^46537632 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 46537632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).

46537632 is an abundant number, since it is smaller than the sum of its proper divisors (91578528).

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

46537632 is a wasteful number, since it uses less digits than its factorization.

46537632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 949 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 46537632 is about 6821.8496025638. The cubic root of 46537632 is about 359.6952977298.

The spelling of 46537632 in words is "forty-six million, five hundred thirty-seven thousand, six hundred thirty-two".