36150768 has 120 divisors (see below), whose sum is σ = 108552080. Its totient is φ = 11197440.

The previous prime is 36150767. The next prime is 36150797. The reversal of 36150768 is 86705163.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36150767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199638 + ... + 199818.

Almost surely, 2^36150768 is an apocalyptic number.

36150768 is a gapful number since it is divisible by the number (38) 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 36150768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54276040).

36150768 is an abundant number, since it is smaller than the sum of its proper divisors (72401312).

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

36150768 is a wasteful number, since it uses less digits than its factorization.

36150768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 36150768 is about 6012.5508729657. The cubic root of 36150768 is about 330.6530319416.

The spelling of 36150768 in words is "thirty-six million, one hundred fifty thousand, seven hundred sixty-eight".