36025800 has 96 divisors (see below), whose sum is σ = 113013600. Its totient is φ = 9492480.

The previous prime is 36025799. The next prime is 36025837. The reversal of 36025800 is 852063.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57891 + ... + 58509.

It is an arithmetic number, because the mean of its divisors is an integer number (1177225).

Almost surely, 2^36025800 is an apocalyptic number.

36025800 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 36025800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56506800).

36025800 is an abundant number, since it is smaller than the sum of its proper divisors (76987800).

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

36025800 is a wasteful number, since it uses less digits than its factorization.

36025800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 36025800 is about 6002.1496149296. The cubic root of 36025800 is about 330.2715854267.

Adding to 36025800 its reverse (852063), we get a palindrome (36877863).

The spelling of 36025800 in words is "thirty-six million, twenty-five thousand, eight hundred".