36398160 has 200 divisors, whose sum is σ = 130444776. Its totient is φ = 9400320.

The previous prime is 36398149. The next prime is 36398171. The reversal of 36398160 is 6189363.

It is a happy number.

36398160 is a `hidden beast` number, since 3 + 639 + 8 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36398149) and next prime (36398171).

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 36144144 = 504^2 + 6012^2 .

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 265612 + ... + 265748.

Almost surely, 2^36398160 is an apocalyptic number.

36398160 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 36398160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65222388).

36398160 is an abundant number, since it is smaller than the sum of its proper divisors (94046616).

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

36398160 is a wasteful number, since it uses less digits than its factorization.

36398160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 36398160 is about 6033.0887611571. The cubic root of 36398160 is about 331.4055749573.

The spelling of 36398160 in words is "thirty-six million, three hundred ninety-eight thousand, one hundred sixty".