1971723936 has 288 divisors, whose sum is σ = 6829220160. Its totient is φ = 492355584.

The previous prime is 1971723913. The next prime is 1971723959. The reversal of 1971723936 is 6393271791.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1971723913) and next prime (1971723959).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1161040 + ... + 1162736.

It is an arithmetic number, because the mean of its divisors is an integer number (23712570).

Almost surely, 2^1971723936 is an apocalyptic number.

1971723936 is a gapful number since it is divisible by the number (16) 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 1971723936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414610080).

1971723936 is an abundant number, since it is smaller than the sum of its proper divisors (4857496224).

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

1971723936 is a wasteful number, since it uses less digits than its factorization.

1971723936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1741 counting only the distinct ones).

The product of its digits is 428652, while the sum is 48.

The square root of 1971723936 is about 44404.0981892437. The cubic root of 1971723936 is about 1253.9552446450.

The spelling of 1971723936 in words is "one billion, nine hundred seventy-one million, seven hundred twenty-three thousand, nine hundred thirty-six".