1967160 has 96 divisors (see below), whose sum is σ = 6456240. Its totient is φ = 479232.

The previous prime is 1967149. The next prime is 1967171. The reversal of 1967160 is 617691.

It is an interprime number because it is at equal distance from previous prime (1967149) and next prime (1967171).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20232 + ... + 20328.

2^1967160 is an apocalyptic number.

1967160 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 1967160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228120).

1967160 is an abundant number, since it is smaller than the sum of its proper divisors (4489080).

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

1967160 is a wasteful number, since it uses less digits than its factorization.

1967160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 1967160 is about 1402.5548117632. The cubic root of 1967160 is about 125.2986989961.

The spelling of 1967160 in words is "one million, nine hundred sixty-seven thousand, one hundred sixty".