1971397120 has 320 divisors, whose sum is σ = 6017400576. Its totient is φ = 601620480.

The previous prime is 1971397073. The next prime is 1971397121. The reversal of 1971397120 is 217931791.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1971397121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14389692 + ... + 14389828.

Almost surely, 2^1971397120 is an apocalyptic number.

1971397120 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 1971397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008700288).

1971397120 is an abundant number, since it is smaller than the sum of its proper divisors (4046003456).

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

1971397120 is a wasteful number, since it uses less digits than its factorization.

1971397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 40.

The square root of 1971397120 is about 44400.4180160503. The cubic root of 1971397120 is about 1253.8859592050.

The spelling of 1971397120 in words is "one billion, nine hundred seventy-one million, three hundred ninety-seven thousand, one hundred twenty".