736632540 has 144 divisors (see below), whose sum is σ = 2636175360. Its totient is φ = 162933120.

The previous prime is 736632517. The next prime is 736632563. The reversal of 736632540 is 45236637.

It is an interprime number because it is at equal distance from previous prime (736632517) and next prime (736632563).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 736632495 and 736632504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29631 + ... + 48489.

Almost surely, 2^736632540 is an apocalyptic number.

736632540 is a gapful number since it is divisible by the number (70) 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 736632540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318087680).

736632540 is an abundant number, since it is smaller than the sum of its proper divisors (1899542820).

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

736632540 is a wasteful number, since it uses less digits than its factorization.

736632540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18912 (or 18907 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 736632540 is about 27140.9752956669. The cubic root of 736632540 is about 903.1300644504.

The spelling of 736632540 in words is "seven hundred thirty-six million, six hundred thirty-two thousand, five hundred forty".