36516480 has 512 divisors, whose sum is σ = 164505600. Its totient is φ = 6635520.

The previous prime is 36516463. The next prime is 36516497. The reversal of 36516480 is 8461563.

It is an interprime number because it is at equal distance from previous prime (36516463) and next prime (36516497).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 1921911 + ... + 1921929.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 2^36516480 is an apocalyptic number.

36516480 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 36516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

36516480 is an abundant number, since it is smaller than the sum of its proper divisors (127989120).

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

36516480 is a wasteful number, since it uses less digits than its factorization.

36516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 36516480 is about 6042.8867273845. The cubic root of 36516480 is about 331.7642881019.

The spelling of 36516480 in words is "thirty-six million, five hundred sixteen thousand, four hundred eighty".