612792144 has 30 divisors (see below), whose sum is σ = 1714967306. Its totient is φ = 204264000.

The previous prime is 612792137. The next prime is 612792163. The reversal of 612792144 is 441297216.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 415670544 + 197121600 = 20388^2 + 14040^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 612792099 and 612792108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2127607 + ... + 2127894.

Almost surely, 2^612792144 is an apocalyptic number.

It is an amenable number.

612792144 is an abundant number, since it is smaller than the sum of its proper divisors (1102175162).

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

612792144 is a wasteful number, since it uses less digits than its factorization.

612792144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255515 (or 4255506 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 612792144 is about 24754.6388380037. The cubic root of 612792144 is about 849.3846267997.

The spelling of 612792144 in words is "six hundred twelve million, seven hundred ninety-two thousand, one hundred forty-four".