36084048 has 160 divisors (see below), whose sum is σ = 125325312. Its totient is φ = 8640000.

The previous prime is 36084023. The next prime is 36084067. The reversal of 36084048 is 84048063.

It is a Cunningham number, because it is equal to 6007²-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 47673 + ... + 48423.

Almost surely, 2^36084048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36084048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62662656).

36084048 is an abundant number, since it is smaller than the sum of its proper divisors (89241264).

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

36084048 is a wasteful number, since it uses less digits than its factorization.

36084048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 36084048 is about 6006.9999167638. Note that the first 4 decimals coincide. The cubic root of 36084048 is about 330.4494884900.

The spelling of 36084048 in words is "thirty-six million, eighty-four thousand, forty-eight".