36010080 has 144 divisors (see below), whose sum is σ = 130201344. Its totient is φ = 9031680.

The previous prime is 36010067. The next prime is 36010081. The reversal of 36010080 is 8001063.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36010081) 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, 23745 + ... + 25215.

It is an arithmetic number, because the mean of its divisors is an integer number (904176).

Almost surely, 2^36010080 is an apocalyptic number.

36010080 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 36010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65100672).

36010080 is an abundant number, since it is smaller than the sum of its proper divisors (94191264).

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

36010080 is a wasteful number, since it uses less digits than its factorization.

36010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 36010080 is about 6000.8399412082. The cubic root of 36010080 is about 330.2235400012.

It can be divided in two parts, 360 and 10080, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 36010080 in words is "thirty-six million, ten thousand, eighty".