612264960 has 352 divisors, whose sum is σ = 2248097280. Its totient is φ = 157925376.

The previous prime is 612264893. The next prime is 612264967. The reversal of 612264960 is 69462216.

612264960 is a `hidden beast` number, since 6 + 1 + 2 + 2 + 649 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (612264967) 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, 5944269 + ... + 5944371.

It is an arithmetic number, because the mean of its divisors is an integer number (6386640).

Almost surely, 2^612264960 is an apocalyptic number.

612264960 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 612264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124048640).

612264960 is an abundant number, since it is smaller than the sum of its proper divisors (1635832320).

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

612264960 is a wasteful number, since it uses less digits than its factorization.

612264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 612264960 is about 24743.9883608120. The cubic root of 612264960 is about 849.1409822189.

The spelling of 612264960 in words is "six hundred twelve million, two hundred sixty-four thousand, nine hundred sixty".