36099680 has 48 divisors (see below), whose sum is σ = 87381504. Its totient is φ = 14085120.

The previous prime is 36099649. The next prime is 36099683. The reversal of 36099680 is 8699063.

36099680 = T₄₈₈ + T₄₈₉ + ... + T₆₉₂.

It is a super-2 number, since 2×36099680² = 2606373792204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36099683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3809 + ... + 9311.

It is an arithmetic number, because the mean of its divisors is an integer number (1820448).

Almost surely, 2^36099680 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 36099680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43690752).

36099680 is an abundant number, since it is smaller than the sum of its proper divisors (51281824).

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

36099680 is a wasteful number, since it uses less digits than its factorization.

36099680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559 (or 5551 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 36099680 is about 6008.3009245543. The cubic root of 36099680 is about 330.4971996989.

The spelling of 36099680 in words is "thirty-six million, ninety-nine thousand, six hundred eighty".