612768000 has 288 divisors, whose sum is σ = 2196335232. Its totient is φ = 150528000.

The previous prime is 612767963. The next prime is 612768007. The reversal of 612768000 is 867216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (612768007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247755 + ... + 1248245.

It is an arithmetic number, because the mean of its divisors is an integer number (7626164).

Almost surely, 2^612768000 is an apocalyptic number.

612768000 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 612768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098167616).

612768000 is an abundant number, since it is smaller than the sum of its proper divisors (1583567232).

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

612768000 is a wasteful number, since it uses less digits than its factorization.

612768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 612768000 is about 24754.1511670265. The cubic root of 612768000 is about 849.3734714066.

The spelling of 612768000 in words is "six hundred twelve million, seven hundred sixty-eight thousand".