616524090 has 128 divisors (see below), whose sum is σ = 1855913472. Its totient is φ = 127595520.

The previous prime is 616524071. The next prime is 616524109. The reversal of 616524090 is 90425616.

It is an interprime number because it is at equal distance from previous prime (616524071) and next prime (616524109).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142560 + ... + 146820.

It is an arithmetic number, because the mean of its divisors is an integer number (14499324).

Almost surely, 2^616524090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616524090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927956736).

616524090 is an abundant number, since it is smaller than the sum of its proper divisors (1239389382).

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

616524090 is a wasteful number, since it uses less digits than its factorization.

616524090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 616524090 is about 24829.9031411723. The cubic root of 616524090 is about 851.1054084122.

The spelling of 616524090 in words is "six hundred sixteen million, five hundred twenty-four thousand, ninety".