7485632 has 112 divisors (see below), whose sum is σ = 19507200. Its totient is φ = 2822400.

The previous prime is 7485631. The next prime is 7485637. The reversal of 7485632 is 2365847.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 7485592 and 7485601.

It is not an unprimeable number, because it can be changed into a prime (7485631) 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, 241457 + ... + 241487.

Almost surely, 2^7485632 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 7485632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753600).

7485632 is an abundant number, since it is smaller than the sum of its proper divisors (12021568).

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

7485632 is a wasteful number, since it uses less digits than its factorization.

7485632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 51 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 7485632 is about 2735.9883040686. The cubic root of 7485632 is about 195.6183047789.

The spelling of 7485632 in words is "seven million, four hundred eighty-five thousand, six hundred thirty-two".