1955640 has 64 divisors (see below), whose sum is σ = 6019200. Its totient is φ = 508032.

The previous prime is 1955633. The next prime is 1955641. The reversal of 1955640 is 465591.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1955598 and 1955607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1955641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4971 + ... + 5349.

It is an arithmetic number, because the mean of its divisors is an integer number (94050).

2^1955640 is an apocalyptic number.

1955640 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 1955640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009600).

1955640 is an abundant number, since it is smaller than the sum of its proper divisors (4063560).

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

1955640 is a wasteful number, since it uses less digits than its factorization.

1955640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1955640 is about 1398.4419902163. The cubic root of 1955640 is about 125.0536303204.

The spelling of 1955640 in words is "one million, nine hundred fifty-five thousand, six hundred forty".