8738632 has 64 divisors (see below), whose sum is σ = 20275200. Its totient is φ = 3447360.

The previous prime is 8738591. The next prime is 8738641. The reversal of 8738632 is 2368378.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8738591 and 8738600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45657 + ... + 45847.

It is an arithmetic number, because the mean of its divisors is an integer number (316800).

Almost surely, 2^8738632 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 8738632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10137600).

8738632 is an abundant number, since it is smaller than the sum of its proper divisors (11536568).

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

8738632 is a wasteful number, since it uses less digits than its factorization.

8738632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 8738632 is about 2956.1177243134. The cubic root of 8738632 is about 205.9749867515.

The spelling of 8738632 in words is "eight million, seven hundred thirty-eight thousand, six hundred thirty-two".