616293090 has 192 divisors, whose sum is σ = 1964995200. Its totient is φ = 136950912.

The previous prime is 616293079. The next prime is 616293091. The reversal of 616293090 is 90392616.

616293090 is a `hidden beast` number, since 616 + 2 + 9 + 30 + 9 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (616293091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488881 + ... + 490139.

It is an arithmetic number, because the mean of its divisors is an integer number (10234350).

Almost surely, 2^616293090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616293090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982497600).

616293090 is an abundant number, since it is smaller than the sum of its proper divisors (1348702110).

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

616293090 is a wasteful number, since it uses less digits than its factorization.

616293090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 616293090 is about 24825.2510561323. The cubic root of 616293090 is about 850.9990973951. Note that the first 3 decimals are identical.

The spelling of 616293090 in words is "six hundred sixteen million, two hundred ninety-three thousand, ninety".