611724960 has 480 divisors, whose sum is σ = 2695980672. Its totient is φ = 126904320.

The previous prime is 611724947. The next prime is 611724973. The reversal of 611724960 is 69427116.

It is an interprime number because it is at equal distance from previous prime (611724947) and next prime (611724973).

It is a tau number, because it is divible by the number of its divisors (480).

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

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 79 ways as a sum of consecutive naturals, for example, 997614 + ... + 998226.

Almost surely, 2^611724960 is an apocalyptic number.

611724960 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 611724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347990336).

611724960 is an abundant number, since it is smaller than the sum of its proper divisors (2084255712).

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

611724960 is a wasteful number, since it uses less digits than its factorization.

611724960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 611724960 is about 24733.0742124791. The cubic root of 611724960 is about 848.8912695228.

The spelling of 611724960 in words is "six hundred eleven million, seven hundred twenty-four thousand, nine hundred sixty".