1656079488 has 192 divisors, whose sum is σ = 5683766400. Its totient is φ = 452542464.

The previous prime is 1656079487. The next prime is 1656079541. The reversal of 1656079488 is 8849706561.

1656079488 is a `hidden beast` number, since 1 + 6 + 560 + 79 + 4 + 8 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1656079487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181008 + ... + 189936.

It is an arithmetic number, because the mean of its divisors is an integer number (29602950).

Almost surely, 2^1656079488 is an apocalyptic number.

1656079488 is a gapful number since it is divisible by the number (18) 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 1656079488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841883200).

1656079488 is an abundant number, since it is smaller than the sum of its proper divisors (4027686912).

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

1656079488 is a wasteful number, since it uses less digits than its factorization.

1656079488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8979 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 1656079488 is about 40694.9565425496. The cubic root of 1656079488 is about 1183.1152691787.

The spelling of 1656079488 in words is "one billion, six hundred fifty-six million, seventy-nine thousand, four hundred eighty-eight".