36840960 has 320 divisors, whose sum is σ = 144365760. Its totient is φ = 8847360.

The previous prime is 36840959. The next prime is 36841003. The reversal of 36840960 is 6904863.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898540 + ... + 898580.

It is an arithmetic number, because the mean of its divisors is an integer number (451143).

Almost surely, 2^36840960 is an apocalyptic number.

36840960 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 36840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

36840960 is an abundant number, since it is smaller than the sum of its proper divisors (107524800).

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

36840960 is a wasteful number, since it uses less digits than its factorization.

36840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36840960 is about 6069.6754443710. The cubic root of 36840960 is about 332.7440611108.

It can be divided in two parts, 368 and 40960, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 36840960 in words is "thirty-six million, eight hundred forty thousand, nine hundred sixty".