36030960 has 160 divisors (see below), whose sum is σ = 141895680. Its totient is φ = 8232192.

The previous prime is 36030919. The next prime is 36030971. The reversal of 36030960 is 6903063.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13929 + ... + 16311.

It is an arithmetic number, because the mean of its divisors is an integer number (886848).

Almost surely, 2^36030960 is an apocalyptic number.

36030960 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 36030960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70947840).

36030960 is an abundant number, since it is smaller than the sum of its proper divisors (105864720).

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

36030960 is a wasteful number, since it uses less digits than its factorization.

36030960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 36030960 is about 6002.5794455384. The cubic root of 36030960 is about 330.2873530157.

The spelling of 36030960 in words is "thirty-six million, thirty thousand, nine hundred sixty".