1961280 has 112 divisors (see below), whose sum is σ = 6949440. Its totient is φ = 520704.

The previous prime is 1961257. The next prime is 1961321. The reversal of 1961280 is 821691.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8527 + ... + 8753.

2^1961280 is an apocalyptic number.

1961280 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 1961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474720).

1961280 is an abundant number, since it is smaller than the sum of its proper divisors (4988160).

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

1961280 is a wasteful number, since it uses less digits than its factorization.

1961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1961280 is about 1400.4570682459. The cubic root of 1961280 is about 125.1737317597.

The spelling of 1961280 in words is "one million, nine hundred sixty-one thousand, two hundred eighty".