36406560 has 96 divisors (see below), whose sum is σ = 116363520. Its totient is φ = 9566208.

The previous prime is 36406547. The next prime is 36406567. The reversal of 36406560 is 6560463.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×36406560² = 2650875222067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (36406567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34521 + ... + 35559.

It is an arithmetic number, because the mean of its divisors is an integer number (1212120).

Almost surely, 2^36406560 is an apocalyptic number.

36406560 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 36406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58181760).

36406560 is an abundant number, since it is smaller than the sum of its proper divisors (79956960).

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

36406560 is a wasteful number, since it uses less digits than its factorization.

36406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 36406560 is about 6033.7848818134. The cubic root of 36406560 is about 331.4310670216.

The spelling of 36406560 in words is "thirty-six million, four hundred six thousand, five hundred sixty".