36267400 has 144 divisors (see below), whose sum is σ = 97008300. Its totient is φ = 12579840.

The previous prime is 36267391. The next prime is 36267401. The reversal of 36267400 is 476263.

36267400 = T₁₄₀ + T₁₄₁ + ... + T₆₀₃.

It can be written as a sum of positive squares in 18 ways, for example, as 3020644 + 33246756 = 1738^2 + 5766^2 .

It is not an unprimeable number, because it can be changed into a prime (36267401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 980182 + ... + 980218.

Almost surely, 2^36267400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36267400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48504150).

36267400 is an abundant number, since it is smaller than the sum of its proper divisors (60740900).

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

36267400 is a wasteful number, since it uses less digits than its factorization.

36267400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 36267400 is about 6022.2421073882. The cubic root of 36267400 is about 331.0082417787.

It can be divided in two parts, 3626 and 7400, that multiplied together give a square (26832400 = 5180²).

The spelling of 36267400 in words is "thirty-six million, two hundred sixty-seven thousand, four hundred".