46753632 has 96 divisors (see below), whose sum is σ = 139073760. Its totient is φ = 15275520.

The previous prime is 46753631. The next prime is 46753639. The reversal of 46753632 is 23635764.

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 not an unprimeable number, because it can be changed into a prime (46753631) 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, 45282 + ... + 46302.

It is an arithmetic number, because the mean of its divisors is an integer number (1448685).

Almost surely, 2^46753632 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 46753632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69536880).

46753632 is an abundant number, since it is smaller than the sum of its proper divisors (92320128).

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

46753632 is a wasteful number, since it uses less digits than its factorization.

46753632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1079 counting only the distinct ones).

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

The square root of 46753632 is about 6837.6627585747. The cubic root of 46753632 is about 360.2509361567.

The spelling of 46753632 in words is "forty-six million, seven hundred fifty-three thousand, six hundred thirty-two".