915012000 has 288 divisors, whose sum is σ = 3712310784. Its totient is φ = 209088000.

The previous prime is 915011987. The next prime is 915012001. The reversal of 915012000 is 210519.

915012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (915012001) 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, 250185 + ... + 253815.

It is an arithmetic number, because the mean of its divisors is an integer number (12889968).

Almost surely, 2^915012000 is an apocalyptic number.

915012000 is a gapful number since it is divisible by the number (90) 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 915012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856155392).

915012000 is an abundant number, since it is smaller than the sum of its proper divisors (2797298784).

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

915012000 is a wasteful number, since it uses less digits than its factorization.

915012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 915012000 is about 30249.1652777395. The cubic root of 915012000 is about 970.8279323729.

Adding to 915012000 its reverse (210519), we get a palindrome (915222519).

The spelling of 915012000 in words is "nine hundred fifteen million, twelve thousand".