1965000 has 80 divisors (see below), whose sum is σ = 6185520. Its totient is φ = 520000.

The previous prime is 1964987. The next prime is 1965077. The reversal of 1965000 is 5691.

It is a super-2 number, since 2×1965000² = 7722450000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14935 + ... + 15065.

It is an arithmetic number, because the mean of its divisors is an integer number (77319).

2^1965000 is an apocalyptic number.

1965000 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 1965000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092760).

1965000 is an abundant number, since it is smaller than the sum of its proper divisors (4220520).

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

1965000 is a wasteful number, since it uses less digits than its factorization.

1965000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1965000 is about 1401.7845768876. The cubic root of 1965000 is about 125.2528216383.

The spelling of 1965000 in words is "one million, nine hundred sixty-five thousand".