616786560 has 192 divisors, whose sum is σ = 2293953480. Its totient is φ = 151805952.

The previous prime is 616786519. The next prime is 616786591. The reversal of 616786560 is 65687616.

616786560 is a `hidden beast` number, since 6 + 1 + 6 + 7 + 86 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 425019456 + 191767104 = 20616^2 + 13848^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70762 + ... + 78998.

Almost surely, 2^616786560 is an apocalyptic number.

616786560 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 616786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146976740).

616786560 is an abundant number, since it is smaller than the sum of its proper divisors (1677166920).

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

616786560 is a wasteful number, since it uses less digits than its factorization.

616786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 616786560 is about 24835.1879396956. The cubic root of 616786560 is about 851.2261703564.

The spelling of 616786560 in words is "six hundred sixteen million, seven hundred eighty-six thousand, five hundred sixty".