736121040 has 160 divisors (see below), whose sum is σ = 2373943296. Its totient is φ = 188490240.

The previous prime is 736120951. The next prime is 736121041. The reversal of 736121040 is 40121637.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 736121040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736121041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1212417 + ... + 1213023.

Almost surely, 2^736121040 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 736121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186971648).

736121040 is an abundant number, since it is smaller than the sum of its proper divisors (1637822256).

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

736121040 is a wasteful number, since it uses less digits than its factorization.

736121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 736121040 is about 27131.5506375880. The cubic root of 736121040 is about 902.9209787499.

Adding to 736121040 its reverse (40121637), we get a palindrome (776242677).

The spelling of 736121040 in words is "seven hundred thirty-six million, one hundred twenty-one thousand, forty".