918090000 has 225 divisors, whose sum is σ = 3242797129. Its totient is φ = 242400000.

The previous prime is 918089987. The next prime is 918090023. The reversal of 918090000 is 90819.

The square root of 918090000 is 30300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 198133776 + 719956224 = 14076^2 + 26832^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9089950 + ... + 9090050.

Almost surely, 2^918090000 is an apocalyptic number.

918090000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

918090000 is the 30300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 918090000

918090000 is an abundant number, since it is smaller than the sum of its proper divisors (2324707129).

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

918090000 is a wasteful number, since it uses less digits than its factorization.

918090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The cubic root of 918090000 is about 971.9153002454.

The spelling of 918090000 in words is "nine hundred eighteen million, ninety thousand".