1696121856 has 495 divisors, whose sum is σ = 6028453893. Its totient is φ = 474439680.

The previous prime is 1696121851. The next prime is 1696121857. The reversal of 1696121856 is 6581216961.

The square root of 1696121856 is 41184.

It is a perfect power (a square), and thus also a powerful number.

1696121856 is a `hidden beast` number, since 16 + 9 + 612 + 18 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 250905600 + 1445216256 = 15840^2 + 38016^2 .

It is an alternating number because its digits alternate between odd and even.

Its product of digits (155520) is a multiple of the sum of its prime factors (80).

It is not an unprimeable number, because it can be changed into a prime (1696121851) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 130470906 + ... + 130470918.

Almost surely, 2^1696121856 is an apocalyptic number.

1696121856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1696121856 is the 41184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1696121856

1696121856 is an abundant number, since it is smaller than the sum of its proper divisors (4332332037).

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

1696121856 is a wasteful number, since it uses less digits than its factorization.

1696121856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 29 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The cubic root of 1696121856 is about 1192.5749519758.

The spelling of 1696121856 in words is "one billion, six hundred ninety-six million, one hundred twenty-one thousand, eight hundred fifty-six".