1959261696 has 400 divisors, whose sum is σ = 7094251296. Its totient is φ = 525533184.

The previous prime is 1959261691. The next prime is 1959261701. The reversal of 1959261696 is 6961629591.

1959261696 is a `hidden beast` number, since 19 + 5 + 9 + 2 + 616 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1959261691) and next prime (1959261701).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1959261691) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4934970 + ... + 4935366.

Almost surely, 2^1959261696 is an apocalyptic number.

1959261696 is a gapful number since it is divisible by the number (16) 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 1959261696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547125648).

1959261696 is an abundant number, since it is smaller than the sum of its proper divisors (5134989600).

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

1959261696 is an equidigital number, since it uses as much as digits as its factorization.

1959261696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 426 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 54.

The square root of 1959261696 is about 44263.5481632460. The cubic root of 1959261696 is about 1251.3077930780.

The spelling of 1959261696 in words is "one billion, nine hundred fifty-nine million, two hundred sixty-one thousand, six hundred ninety-six".