1952120 has 32 divisors (see below), whose sum is σ = 4514400. Its totient is φ = 759168.

The previous prime is 1952099. The next prime is 1952123. The reversal of 1952120 is 212591.

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

It is a junction number, because it is equal to n+sod(n) for n = 1952092 and 1952101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 821 + ... + 2139.

It is an arithmetic number, because the mean of its divisors is an integer number (141075).

2^1952120 is an apocalyptic number.

1952120 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 1952120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257200).

1952120 is an abundant number, since it is smaller than the sum of its proper divisors (2562280).

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

1952120 is a wasteful number, since it uses less digits than its factorization.

1952120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1952120 is about 1397.1828799409. The cubic root of 1952120 is about 124.9785563216.

The spelling of 1952120 in words is "one million, nine hundred fifty-two thousand, one hundred twenty".