612288900 has 54 divisors (see below), whose sum is σ = 1919188362. Its totient is φ = 163276800.

The previous prime is 612288883. The next prime is 612288953. The reversal of 612288900 is 9882216.

It can be written as a sum of positive squares in 3 ways, for example, as 159365376 + 452923524 = 12624^2 + 21282^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 339261 + ... + 341060.

Almost surely, 2^612288900 is an apocalyptic number.

612288900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

612288900 is an abundant number, since it is smaller than the sum of its proper divisors (1306899462).

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

612288900 is a wasteful number, since it uses less digits than its factorization.

612288900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680341 (or 680331 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 612288900 is about 24744.4721099481. The cubic root of 612288900 is about 849.1520494155.

The spelling of 612288900 in words is "six hundred twelve million, two hundred eighty-eight thousand, nine hundred".