1962720 has 144 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 494592.

The previous prime is 1962707. The next prime is 1962731. The reversal of 1962720 is 272691.

1962720 is a `hidden beast` number, since 19 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41737 + ... + 41783.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2^1962720 is an apocalyptic number.

1962720 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 1962720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

1962720 is an abundant number, since it is smaller than the sum of its proper divisors (5113440).

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

1962720 is a wasteful number, since it uses less digits than its factorization.

1962720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1962720 is about 1400.9710917788. The cubic root of 1962720 is about 125.2043590503.

It can be divided in two parts, 196 and 2720, that added together give a square (2916 = 54²).

The spelling of 1962720 in words is "one million, nine hundred sixty-two thousand, seven hundred twenty".