736485120 has 216 divisors, whose sum is σ = 2912503776. Its totient is φ = 168321024.

The previous prime is 736485109. The next prime is 736485121. The reversal of 736485120 is 21584637.

736485120 is a `hidden beast` number, since 7 + 3 + 648 + 5 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736485121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76074 + ... + 85206.

Almost surely, 2^736485120 is an apocalyptic number.

736485120 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 736485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456251888).

736485120 is an abundant number, since it is smaller than the sum of its proper divisors (2176018656).

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

736485120 is a wasteful number, since it uses less digits than its factorization.

736485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9167 (or 9150 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 736485120 is about 27138.2593399061. The cubic root of 736485120 is about 903.0698135521.

The spelling of 736485120 in words is "seven hundred thirty-six million, four hundred eighty-five thousand, one hundred twenty".