36602640 has 120 divisors (see below), whose sum is σ = 127235160. Its totient is φ = 9418752.

The previous prime is 36602633. The next prime is 36602647. The reversal of 36602640 is 4620663.

It is an interprime number because it is at equal distance from previous prime (36602633) and next prime (36602647).

It can be written as a sum of positive squares in 4 ways, for example, as 24336 + 36578304 = 156^2 + 6048^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (36602647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20004 + ... + 21756.

It is an arithmetic number, because the mean of its divisors is an integer number (1060293).

Almost surely, 2^36602640 is an apocalyptic number.

36602640 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 36602640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63617580).

36602640 is an abundant number, since it is smaller than the sum of its proper divisors (90632520).

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

36602640 is a wasteful number, since it uses less digits than its factorization.

36602640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36602640 is about 6050.0115702369. The cubic root of 36602640 is about 332.0250138409.

The spelling of 36602640 in words is "thirty-six million, six hundred two thousand, six hundred forty".