1956217068 has 288 divisors, whose sum is σ = 5917556736. Its totient is φ = 560431872.

The previous prime is 1956217037. The next prime is 1956217079. The reversal of 1956217068 is 8607126591.

1956217068 is a `hidden beast` number, since 19 + 5 + 621 + 7 + 0 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15403221 + ... + 15403347.

It is an arithmetic number, because the mean of its divisors is an integer number (20547072).

Almost surely, 2^1956217068 is an apocalyptic number.

1956217068 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 1956217068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958778368).

1956217068 is an abundant number, since it is smaller than the sum of its proper divisors (3961339668).

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

1956217068 is a wasteful number, since it uses less digits than its factorization.

1956217068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1956217068 is about 44229.1427454795. The cubic root of 1956217068 is about 1250.6592933780.

It can be divided in two parts, 1956 and 217068, that added together give a square (219024 = 468²).

The spelling of 1956217068 in words is "one billion, nine hundred fifty-six million, two hundred seventeen thousand, sixty-eight".