1961568 has 108 divisors (see below), whose sum is σ = 6535620. Its totient is φ = 556416.

The previous prime is 1961551. The next prime is 1961581. The reversal of 1961568 is 8651691.

1961568 is a `hidden beast` number, since 1 + 96 + 1 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14043 + ... + 14181.

It is an arithmetic number, because the mean of its divisors is an integer number (60515).

2^1961568 is an apocalyptic number.

1961568 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 1961568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267810).

1961568 is an abundant number, since it is smaller than the sum of its proper divisors (4574052).

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

1961568 is a wasteful number, since it uses less digits than its factorization.

1961568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1961568 is about 1400.5598880448. The cubic root of 1961568 is about 125.1798584168.

It can be divided in two parts, 19615 and 68, that added together give a 9-th power (19683 = 3⁹).

The spelling of 1961568 in words is "one million, nine hundred sixty-one thousand, five hundred sixty-eight".