1960416 has 48 divisors (see below), whose sum is σ = 5720400. Its totient is φ = 653184.

The previous prime is 1960397. The next prime is 1960421. The reversal of 1960416 is 6140691.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 1960416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271 + ... + 1998.

It is an arithmetic number, because the mean of its divisors is an integer number (119175).

2^1960416 is an apocalyptic number.

1960416 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 1960416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860200).

1960416 is an abundant number, since it is smaller than the sum of its proper divisors (3759984).

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

1960416 is a wasteful number, since it uses less digits than its factorization.

1960416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1960416 is about 1400.1485635460. The cubic root of 1960416 is about 125.1553481889.

The spelling of 1960416 in words is "one million, nine hundred sixty thousand, four hundred sixteen".