36303960 has 128 divisors (see below), whose sum is σ = 135820800. Its totient is φ = 7541760.

The previous prime is 36303947. The next prime is 36303961. The reversal of 36303960 is 6930363.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36303961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7276 + ... + 11204.

It is an arithmetic number, because the mean of its divisors is an integer number (1061100).

Almost surely, 2^36303960 is an apocalyptic number.

36303960 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 36303960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67910400).

36303960 is an abundant number, since it is smaller than the sum of its proper divisors (99516840).

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

36303960 is a wasteful number, since it uses less digits than its factorization.

36303960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

The square root of 36303960 is about 6025.2767571291. The cubic root of 36303960 is about 331.1194306808.

The spelling of 36303960 in words is "thirty-six million, three hundred three thousand, nine hundred sixty".