7561632 has 96 divisors (see below), whose sum is σ = 21930048. Its totient is φ = 2267136.

The previous prime is 7561573. The next prime is 7561633. The reversal of 7561632 is 2361657.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7561632.

It is not an unprimeable number, because it can be changed into a prime (7561633) 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, 91063 + ... + 91145.

It is an arithmetic number, because the mean of its divisors is an integer number (228438).

Almost surely, 2^7561632 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 7561632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10965024).

7561632 is an abundant number, since it is smaller than the sum of its proper divisors (14368416).

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

7561632 is a wasteful number, since it uses less digits than its factorization.

7561632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 7561632 is about 2749.8421772895. The cubic root of 7561632 is about 196.2781002942.

The spelling of 7561632 in words is "seven million, five hundred sixty-one thousand, six hundred thirty-two".