1956761136 has 240 divisors, whose sum is σ = 6150463488. Its totient is φ = 575769600.

The previous prime is 1956761123. The next prime is 1956761153. The reversal of 1956761136 is 6311676591.

1956761136 is a `hidden beast` number, since 19 + 567 + 61 + 13 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (204120) is a multiple of the sum of its prime factors (360).

It is a junction number, because it is equal to n+sod(n) for n = 1956761091 and 1956761100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14282860 + ... + 14282996.

Almost surely, 2^1956761136 is an apocalyptic number.

1956761136 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 1956761136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075231744).

1956761136 is an abundant number, since it is smaller than the sum of its proper divisors (4193702352).

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

1956761136 is a wasteful number, since it uses less digits than its factorization.

1956761136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 351 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 1956761136 is about 44235.2928779724. The cubic root of 1956761136 is about 1250.7752281310.

The spelling of 1956761136 in words is "one billion, nine hundred fifty-six million, seven hundred sixty-one thousand, one hundred thirty-six".