916531200 has 720 divisors, whose sum is σ = 3870806940. Its totient is φ = 212336640.

The previous prime is 916531153. The next prime is 916531201. The reversal of 916531200 is 2135619.

916531200 is a `hidden beast` number, since 9 + 1 + 653 + 1 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 288728064 + 627803136 = 16992^2 + 25056^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916531201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53913592 + ... + 53913608.

Almost surely, 2^916531200 is an apocalyptic number.

916531200 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 916531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935403470).

916531200 is an abundant number, since it is smaller than the sum of its proper divisors (2954275740).

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

916531200 is a wasteful number, since it uses less digits than its factorization.

916531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 916531200 is about 30274.2662999452. The cubic root of 916531200 is about 971.3649258022.

Adding to 916531200 its reverse (2135619), we get a palindrome (918666819).

The spelling of 916531200 in words is "nine hundred sixteen million, five hundred thirty-one thousand, two hundred".