36252600 has 192 divisors, whose sum is σ = 122135040. Its totient is φ = 8870400.

The previous prime is 36252553. The next prime is 36252607. The reversal of 36252600 is 625263.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36252607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510565 + ... + 510635.

It is an arithmetic number, because the mean of its divisors is an integer number (636120).

Almost surely, 2^36252600 is an apocalyptic number.

36252600 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 36252600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067520).

36252600 is an abundant number, since it is smaller than the sum of its proper divisors (85882440).

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

36252600 is a wasteful number, since it uses less digits than its factorization.

36252600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 36252600 is about 6021.0132037723. The cubic root of 36252600 is about 330.9632097066.

Adding to 36252600 its reverse (625263), we get a palindrome (36877863).

The spelling of 36252600 in words is "thirty-six million, two hundred fifty-two thousand, six hundred".