1955895984 has 200 divisors, whose sum is σ = 6513416448. Its totient is φ = 555050880.

The previous prime is 1955895973. The next prime is 1955896003. The reversal of 1955895984 is 4895985591.

It is a super-4 number, since 4×1955895984⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1514379 + ... + 1515669.

Almost surely, 2^1955895984 is an apocalyptic number.

1955895984 is a gapful number since it is divisible by the number (14) 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 1955895984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256708224).

1955895984 is an abundant number, since it is smaller than the sum of its proper divisors (4557520464).

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

1955895984 is a wasteful number, since it uses less digits than its factorization.

1955895984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1470 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 63.

The square root of 1955895984 is about 44225.5128178295. The cubic root of 1955895984 is about 1250.5908639132.

The spelling of 1955895984 in words is "one billion, nine hundred fifty-five million, eight hundred ninety-five thousand, nine hundred eighty-four".