36091440 has 480 divisors, whose sum is σ = 162846720. Its totient is φ = 7257600.

The previous prime is 36091427. The next prime is 36091481. The reversal of 36091440 is 4419063.

36091440 = 57³ + 58³ + ... + 111³.

36091440 is a `hidden beast` number, since 3 + 609 + 14 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1164225 + ... + 1164255.

It is an arithmetic number, because the mean of its divisors is an integer number (339264).

Almost surely, 2^36091440 is an apocalyptic number.

36091440 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 36091440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

36091440 is an abundant number, since it is smaller than the sum of its proper divisors (126755280).

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

36091440 is a wasteful number, since it uses less digits than its factorization.

36091440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36091440 is about 6007.6151674354. The cubic root of 36091440 is about 330.4720516998.

The spelling of 36091440 in words is "thirty-six million, ninety-one thousand, four hundred forty".