1960400 has 90 divisors (see below), whose sum is σ = 5275890. Its totient is φ = 698880.

The previous prime is 1960397. The next prime is 1960421. The reversal of 1960400 is 40691.

It can be written as a sum of positive squares in 9 ways, for example, as 1227664 + 732736 = 1108^2 + 856^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 67586 + ... + 67614.

It is an arithmetic number, because the mean of its divisors is an integer number (58621).

2^1960400 is an apocalyptic number.

1960400 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 1960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637945).

1960400 is an abundant number, since it is smaller than the sum of its proper divisors (3315490).

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

1960400 is a wasteful number, since it uses less digits than its factorization.

1960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1960400 is about 1400.1428498550. The cubic root of 1960400 is about 125.1550077014.

The spelling of 1960400 in words is "one million, nine hundred sixty thousand, four hundred".