1969920 has 180 divisors, whose sum is σ = 7419720. Its totient is φ = 497664.

The previous prime is 1969907. The next prime is 1969921. The reversal of 1969920 is 299691.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×1969920³ = 22933324865470464000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1969921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103671 + ... + 103689.

2^1969920 is an apocalyptic number.

1969920 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 1969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709860).

1969920 is an abundant number, since it is smaller than the sum of its proper divisors (5449800).

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

1969920 is an equidigital number, since it uses as much as digits as its factorization.

1969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1969920 is about 1403.5383856525. The cubic root of 1969920 is about 125.3572712187.

The spelling of 1969920 in words is "one million, nine hundred sixty-nine thousand, nine hundred twenty".