170976960 has 448 divisors, whose sum is σ = 754928640. Its totient is φ = 35389440.

The previous prime is 170976947. The next prime is 170976977. The reversal of 170976960 is 69679071.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 665152 + ... + 665408.

Almost surely, 2^170976960 is an apocalyptic number.

170976960 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 170976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377464320).

170976960 is an abundant number, since it is smaller than the sum of its proper divisors (583951680).

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

170976960 is a wasteful number, since it uses less digits than its factorization.

170976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

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

The square root of 170976960 is about 13075.8158445276. The cubic root of 170976960 is about 555.0249806141.

The spelling of 170976960 in words is "one hundred seventy million, nine hundred seventy-six thousand, nine hundred sixty".