36726480 has 240 divisors, whose sum is σ = 147579840. Its totient is φ = 8370432.

The previous prime is 36726467. The next prime is 36726491. The reversal of 36726480 is 8462763.

36726480 is a `hidden beast` number, since 3 + 6 + 7 + 2 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105667 + ... + 106013.

It is an arithmetic number, because the mean of its divisors is an integer number (614916).

Almost surely, 2^36726480 is an apocalyptic number.

36726480 is a gapful number since it is divisible by the number (30) 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 36726480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73789920).

36726480 is an abundant number, since it is smaller than the sum of its proper divisors (110853360).

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

36726480 is a wasteful number, since it uses less digits than its factorization.

36726480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 36726480 is about 6060.2376191037. The cubic root of 36726480 is about 332.3990459903.

The spelling of 36726480 in words is "thirty-six million, seven hundred twenty-six thousand, four hundred eighty".