612661504 has 243 divisors, whose sum is σ = 1636383987. Its totient is φ = 228114432.

The previous prime is 612661501. The next prime is 612661507. The reversal of 612661504 is 405166216.

The square root of 612661504 is 24752.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (612661501) and next prime (612661507).

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 607129600 = 2352^2 + 24640^2 .

It is not an unprimeable number, because it can be changed into a prime (612661501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36038904 + ... + 36038920.

Almost surely, 2^612661504 is an apocalyptic number.

612661504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

612661504 is the 24752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612661504

612661504 is an abundant number, since it is smaller than the sum of its proper divisors (1023722483).

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

612661504 is a wasteful number, since it uses less digits than its factorization.

612661504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 612661504 is about 849.3242629417.

The spelling of 612661504 in words is "six hundred twelve million, six hundred sixty-one thousand, five hundred four".