612288000 has 240 divisors, whose sum is σ = 2207421216. Its totient is φ = 163123200.

The previous prime is 612287993. The next prime is 612288007. The reversal of 612288000 is 882216.

It is an interprime number because it is at equal distance from previous prime (612287993) and next prime (612288007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612288007) 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, 575469 + ... + 576531.

Almost surely, 2^612288000 is an apocalyptic number.

612288000 is a gapful number since it is divisible by the number (60) 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 612288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103710608).

612288000 is an abundant number, since it is smaller than the sum of its proper divisors (1595133216).

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

612288000 is a wasteful number, since it uses less digits than its factorization.

612288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 612288000 is about 24744.4539240614. The cubic root of 612288000 is about 849.1516333607.

The spelling of 612288000 in words is "six hundred twelve million, two hundred eighty-eight thousand".