1997583120 has 400 divisors, whose sum is σ = 7804000512. Its totient is φ = 469877760.

The previous prime is 1997583101. The next prime is 1997583139. The reversal of 1997583120 is 213857991.

It is an interprime number because it is at equal distance from previous prime (1997583101) and next prime (1997583139).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1937005 + ... + 1938035.

Almost surely, 2^1997583120 is an apocalyptic number.

1997583120 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 1997583120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902000256).

1997583120 is an abundant number, since it is smaller than the sum of its proper divisors (5806417392).

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

1997583120 is a wasteful number, since it uses less digits than its factorization.

1997583120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 1997583120 is about 44694.3298417148. The cubic root of 1997583120 is about 1259.4133323267.

The spelling of 1997583120 in words is "one billion, nine hundred ninety-seven million, five hundred eighty-three thousand, one hundred twenty".