1955314032 has 160 divisors (see below), whose sum is σ = 5948428800. Its totient is φ = 553190400.

The previous prime is 1955314013. The next prime is 1955314043. The reversal of 1955314032 is 2304135591.

1955314032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1955313984 and 1955314002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1859907 + ... + 1860957.

It is an arithmetic number, because the mean of its divisors is an integer number (37177680).

Almost surely, 2^1955314032 is an apocalyptic number.

1955314032 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 1955314032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974214400).

1955314032 is an abundant number, since it is smaller than the sum of its proper divisors (3993114768).

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

1955314032 is a wasteful number, since it uses less digits than its factorization.

1955314032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 1955314032 is about 44218.9329586321. The cubic root of 1955314032 is about 1250.4668191355.

The spelling of 1955314032 in words is "one billion, nine hundred fifty-five million, three hundred fourteen thousand, thirty-two".