612563904 has 112 divisors (see below), whose sum is σ = 1822947840. Its totient is φ = 201680640.

The previous prime is 612563893. The next prime is 612563909. The reversal of 612563904 is 409365216.

It is a happy number.

612563904 is a `hidden beast` number, since 6 + 1 + 2 + 563 + 90 + 4 = 666.

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 (612563909) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 141289 + ... + 145559.

It is an arithmetic number, because the mean of its divisors is an integer number (16276320).

Almost surely, 2^612563904 is an apocalyptic number.

612563904 is a gapful number since it is divisible by the number (64) 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 612563904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911473920).

612563904 is an abundant number, since it is smaller than the sum of its proper divisors (1210383936).

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

612563904 is a wasteful number, since it uses less digits than its factorization.

612563904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 612563904 is about 24750.0283636201. The cubic root of 612563904 is about 849.2791600316.

The spelling of 612563904 in words is "six hundred twelve million, five hundred sixty-three thousand, nine hundred four".