1953980 has 48 divisors (see below), whose sum is σ = 4971456. Its totient is φ = 629760.

The previous prime is 1953977. The next prime is 1953983. The reversal of 1953980 is 893591.

It is an interprime number because it is at equal distance from previous prime (1953977) and next prime (1953983).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1953980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1953983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1970 + ... + 2790.

It is an arithmetic number, because the mean of its divisors is an integer number (103572).

2^1953980 is an apocalyptic number.

1953980 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 1953980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485728).

1953980 is an abundant number, since it is smaller than the sum of its proper divisors (3017476).

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

1953980 is a wasteful number, since it uses less digits than its factorization.

1953980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 1953980 is about 1397.8483465670. The cubic root of 1953980 is about 125.0182373391.

The spelling of 1953980 in words is "one million, nine hundred fifty-three thousand, nine hundred eighty".