1960896 has 56 divisors (see below), whose sum is σ = 5933440. Its totient is φ = 559872.

The previous prime is 1960891. The next prime is 1960901. The reversal of 1960896 is 6980691.

1960896 = T₇₄₅ + T₇₄₆ + ... + T₇₅₁.

It is an interprime number because it is at equal distance from previous prime (1960891) and next prime (1960901).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1960896² = 7690226245632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 615 + ... + 2073.

2^1960896 is an apocalyptic number.

1960896 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 1960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966720).

1960896 is an abundant number, since it is smaller than the sum of its proper divisors (3972544).

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

1960896 is a wasteful number, since it uses less digits than its factorization.

1960896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 1960896 is about 1400.3199634369. The cubic root of 1960896 is about 125.1655619504.

The spelling of 1960896 in words is "one million, nine hundred sixty thousand, eight hundred ninety-six".