36057000 has 256 divisors, whose sum is σ = 137479680. Its totient is φ = 7680000.

The previous prime is 36056989. The next prime is 36057001. The reversal of 36057000 is 75063.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (36057001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356950 + ... + 357050.

It is an arithmetic number, because the mean of its divisors is an integer number (537030).

Almost surely, 2^36057000 is an apocalyptic number.

36057000 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 36057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840).

36057000 is an abundant number, since it is smaller than the sum of its proper divisors (101422680).

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

36057000 is a wasteful number, since it uses less digits than its factorization.

36057000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 36057000 is about 6004.7481212787. The cubic root of 36057000 is about 330.3669013779.

The spelling of 36057000 in words is "thirty-six million, fifty-seven thousand".