1997614080 has 528 divisors, whose sum is σ = 8644955904. Its totient is φ = 414351360.

The previous prime is 1997614051. The next prime is 1997614097. The reversal of 1997614080 is 804167991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×1997614080² = 7980924025228492800, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3547879 + ... + 3548441.

Almost surely, 2^1997614080 is an apocalyptic number.

1997614080 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 1997614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322477952).

1997614080 is an abundant number, since it is smaller than the sum of its proper divisors (6647341824).

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

1997614080 is a wasteful number, since it uses less digits than its factorization.

1997614080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1997614080 is about 44694.6761930322. The cubic root of 1997614080 is about 1259.4198387285.

It can be divided in two parts, 199761 and 4080, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 1997614080 in words is "one billion, nine hundred ninety-seven million, six hundred fourteen thousand, eighty".