736089120 has 480 divisors, whose sum is σ = 2973701808. Its totient is φ = 169869312.

The previous prime is 736089071. The next prime is 736089139. The reversal of 736089120 is 21980637.

It can be written as a sum of positive squares in 8 ways, for example, as 519292944 + 216796176 = 22788^2 + 14724^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2864032 + ... + 2864288.

Almost surely, 2^736089120 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 736089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486850904).

736089120 is an abundant number, since it is smaller than the sum of its proper divisors (2237612688).

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

736089120 is a wasteful number, since it uses less digits than its factorization.

736089120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 736089120 is about 27130.9623861742. The cubic root of 736089120 is about 902.9079276109.

It can be divided in two parts, 73608 and 9120, that added together give a palindrome (82728).

The spelling of 736089120 in words is "seven hundred thirty-six million, eighty-nine thousand, one hundred twenty".