36007920 has 120 divisors (see below), whose sum is σ = 130262496. Its totient is φ = 8861184.

The previous prime is 36007901. The next prime is 36007927. The reversal of 36007920 is 2970063.

It is a tau number, because it is divible by the number of its divisors (120).

36007920 is a modest number, since divided by 7920 gives 3600 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36007927) 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, 7437 + ... + 11283.

Almost surely, 2^36007920 is an apocalyptic number.

36007920 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 36007920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65131248).

36007920 is an abundant number, since it is smaller than the sum of its proper divisors (94254576).

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

36007920 is a wasteful number, since it uses less digits than its factorization.

36007920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 36007920 is about 6000.6599637040. The cubic root of 36007920 is about 330.2169372471.

Adding to 36007920 its reverse (2970063), we get a palindrome (38977983).

The spelling of 36007920 in words is "thirty-six million, seven thousand, nine hundred twenty".