36320460 has 96 divisors (see below), whose sum is σ = 112154112. Its totient is φ = 8709120.

The previous prime is 36320429. The next prime is 36320467. The reversal of 36320460 is 6402363.

36320460 = 510² + 511² + ... + 622².

It is a super-2 number, since 2×36320460² = 2638351629223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36320460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36320467) 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 31 ways as a sum of consecutive naturals, for example, 74337 + ... + 74823.

It is an arithmetic number, because the mean of its divisors is an integer number (1168272).

Almost surely, 2^36320460 is an apocalyptic number.

36320460 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 36320460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56077056).

36320460 is an abundant number, since it is smaller than the sum of its proper divisors (75833652).

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

36320460 is a wasteful number, since it uses less digits than its factorization.

36320460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 36320460 is about 6026.6458332973. The cubic root of 36320460 is about 331.1695872212.

The spelling of 36320460 in words is "thirty-six million, three hundred twenty thousand, four hundred sixty".