612045000 has 480 divisors, whose sum is σ = 2485454400. Its totient is φ = 133056000.

The previous prime is 612044963. The next prime is 612045001. The reversal of 612045000 is 540216.

It is a happy number.

612045000 is a `hidden beast` number, since 612 + 0 + 4 + 50 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612045001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9134967 + ... + 9135033.

It is an arithmetic number, because the mean of its divisors is an integer number (5178030).

Almost surely, 2^612045000 is an apocalyptic number.

612045000 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 612045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242727200).

612045000 is an abundant number, since it is smaller than the sum of its proper divisors (1873409400).

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

612045000 is a wasteful number, since it uses less digits than its factorization.

612045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 612045000 is about 24739.5432455816. The cubic root of 612045000 is about 849.0392836439.

Adding to 612045000 its reverse (540216), we get a palindrome (612585216).

The spelling of 612045000 in words is "six hundred twelve million, forty-five thousand".