1961760 has 96 divisors (see below), whose sum is σ = 6374592. Its totient is φ = 506880.

The previous prime is 1961759. The next prime is 1961767. The reversal of 1961760 is 671691.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1961767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29247 + ... + 29313.

It is an arithmetic number, because the mean of its divisors is an integer number (66402).

2^1961760 is an apocalyptic number.

1961760 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 1961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187296).

1961760 is an abundant number, since it is smaller than the sum of its proper divisors (4412832).

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

1961760 is a wasteful number, since it uses less digits than its factorization.

1961760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 1961760 is about 1400.6284303840. The cubic root of 1961760 is about 125.1839425218.

The spelling of 1961760 in words is "one million, nine hundred sixty-one thousand, seven hundred sixty".