1955877072 has 80 divisors (see below), whose sum is σ = 5141337600. Its totient is φ = 640607616.

The previous prime is 1955877071. The next prime is 1955877097. The reversal of 1955877072 is 2707785591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1955877071) 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, 791583 + ... + 794049.

It is an arithmetic number, because the mean of its divisors is an integer number (64266720).

Almost surely, 2^1955877072 is an apocalyptic number.

1955877072 is a gapful number since it is divisible by the number (12) 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 1955877072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570668800).

1955877072 is an abundant number, since it is smaller than the sum of its proper divisors (3185460528).

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

1955877072 is a wasteful number, since it uses less digits than its factorization.

1955877072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 51.

The square root of 1955877072 is about 44225.2990040768. The cubic root of 1955877072 is about 1250.5868331517.

The spelling of 1955877072 in words is "one billion, nine hundred fifty-five million, eight hundred seventy-seven thousand, seventy-two".