17120970 has 80 divisors (see below), whose sum is σ = 48090240. Its totient is φ = 4362336.

The previous prime is 17120953. The next prime is 17120977. The reversal of 17120970 is 7902171.

17120970 = 135² + 136² + ... + 377².

It is a super-2 number, since 2×17120970² = 586255227481800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17120977) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18171 + ... + 19089.

It is an arithmetic number, because the mean of its divisors is an integer number (601128).

Almost surely, 2^17120970 is an apocalyptic number.

17120970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17120970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24045120).

17120970 is an abundant number, since it is smaller than the sum of its proper divisors (30969270).

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

17120970 is a wasteful number, since it uses less digits than its factorization.

17120970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 17120970 is about 4137.7493882544. The cubic root of 17120970 is about 257.7366160138.

The spelling of 17120970 in words is "seventeen million, one hundred twenty thousand, nine hundred seventy".