612900288 has 336 divisors, whose sum is σ = 2360956416. Its totient is φ = 146810880.

The previous prime is 612900283. The next prime is 612900289. The reversal of 612900288 is 882009216.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612900283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576045 + ... + 577107.

It is an arithmetic number, because the mean of its divisors is an integer number (7026656).

Almost surely, 2^612900288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612900288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180478208).

612900288 is an abundant number, since it is smaller than the sum of its proper divisors (1748056128).

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

612900288 is a wasteful number, since it uses less digits than its factorization.

612900288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1099 counting only the distinct ones).

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

The square root of 612900288 is about 24756.8230595123. The cubic root of 612900288 is about 849.4345896074.

The spelling of 612900288 in words is "six hundred twelve million, nine hundred thousand, two hundred eighty-eight".