1670910120 has 320 divisors, whose sum is σ = 6184823040. Its totient is φ = 401241600.

The previous prime is 1670910107. The next prime is 1670910133. The reversal of 1670910120 is 210190761.

It is an interprime number because it is at equal distance from previous prime (1670910107) and next prime (1670910133).

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

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 79 ways as a sum of consecutive naturals, for example, 6165585 + ... + 6165855.

It is an arithmetic number, because the mean of its divisors is an integer number (19327572).

Almost surely, 2^1670910120 is an apocalyptic number.

1670910120 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 1670910120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092411520).

1670910120 is an abundant number, since it is smaller than the sum of its proper divisors (4513912920).

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

1670910120 is a wasteful number, since it uses less digits than its factorization.

1670910120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1670910120 is about 40876.7674847217. The cubic root of 1670910120 is about 1186.6364827711.

The spelling of 1670910120 in words is "one billion, six hundred seventy million, nine hundred ten thousand, one hundred twenty".