736632 has 48 divisors (see below), whose sum is σ = 2151240. Its totient is φ = 226368.

The previous prime is 736607. The next prime is 736639. The reversal of 736632 is 236637.

It is a junction number, because it is equal to n+sod(n) for n = 736596 and 736605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543 + ... + 1329.

2⁷³⁶⁶³² is an apocalyptic number.

736632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 736632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075620).

736632 is an abundant number, since it is smaller than the sum of its proper divisors (1414608).

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

736632 is a wasteful number, since it uses less digits than its factorization.

736632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 805 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 736632 is about 858.2726839414. The cubic root of 736632 is about 90.3129843766.

The spelling of 736632 in words is "seven hundred thirty-six thousand, six hundred thirty-two".