997670160 has 120 divisors (see below), whose sum is σ = 3547641240. Its totient is φ = 250392576.

The previous prime is 997670129. The next prime is 997670171. The reversal of 997670160 is 61076799.

It can be written as a sum of positive squares in 4 ways, for example, as 348643584 + 649026576 = 18672^2 + 25476^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28515 + ... + 52994.

It is an arithmetic number, because the mean of its divisors is an integer number (29563677).

Almost surely, 2^997670160 is an apocalyptic number.

997670160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

997670160 is an abundant number, since it is smaller than the sum of its proper divisors (2549971080).

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

997670160 is a wasteful number, since it uses less digits than its factorization.

997670160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81545 (or 81536 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 997670160 is about 31585.9171150689. The cubic root of 997670160 is about 999.2227827565. Note that the first 3 decimals are identical.

The spelling of 997670160 in words is "nine hundred ninety-seven million, six hundred seventy thousand, one hundred sixty".