46653632 has 28 divisors (see below), whose sum is σ = 93412056. Its totient is φ = 23116800.

The previous prime is 46653631. The next prime is 46653647. The reversal of 46653632 is 23635664.

It is a super-2 number, since 2×46653632² = 4353122757582848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46653592 and 46653601.

It is not an unprimeable number, because it can be changed into a prime (46653631) 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 3 ways as a sum of consecutive naturals, for example, 4007 + ... + 10457.

Almost surely, 2^46653632 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 46653632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46706028).

46653632 is an abundant number, since it is smaller than the sum of its proper divisors (46758424).

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

46653632 is a wasteful number, since it uses less digits than its factorization.

46653632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6576 (or 6566 counting only the distinct ones).

The product of its digits is 77760, while the sum is 35.

The square root of 46653632 is about 6830.3464040999. The cubic root of 46653632 is about 359.9939093620.

The spelling of 46653632 in words is "forty-six million, six hundred fifty-three thousand, six hundred thirty-two".