1956346560 has 336 divisors, whose sum is σ = 8030077920. Its totient is φ = 447068160.

The previous prime is 1956346559. The next prime is 1956346573. The reversal of 1956346560 is 656436591.

1956346560 is a `hidden beast` number, since 1 + 9 + 5 + 634 + 6 + 5 + 6 + 0 = 666.

1956346560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 421050 + ... + 425670.

Almost surely, 2^1956346560 is an apocalyptic number.

1956346560 is a gapful number since it is divisible by the number (10) 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 1956346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015038960).

1956346560 is an abundant number, since it is smaller than the sum of its proper divisors (6073731360).

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

1956346560 is a wasteful number, since it uses less digits than its factorization.

1956346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 1956346560 is about 44230.6065976943. The cubic root of 1956346560 is about 1250.6868886114.

The spelling of 1956346560 in words is "one billion, nine hundred fifty-six million, three hundred forty-six thousand, five hundred sixty".