1964900 has 54 divisors (see below), whose sum is σ = 4972338. Its totient is φ = 672000.

The previous prime is 1964899. The next prime is 1964917. The reversal of 1964900 is 94691.

It can be written as a sum of positive squares in 3 ways, for example, as 614656 + 1350244 = 784^2 + 1162^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4700 + ... + 5100.

2^1964900 is an apocalyptic number.

1964900 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 1964900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486169).

1964900 is an abundant number, since it is smaller than the sum of its proper divisors (3007438).

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

1964900 is a wasteful number, since it uses less digits than its factorization.

1964900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 1964900 is about 1401.7489076151. The cubic root of 1964900 is about 125.2506968725.

It can be divided in two parts, 196 and 4900, that multiplied together give a square (960400 = 980²).

The spelling of 1964900 in words is "one million, nine hundred sixty-four thousand, nine hundred".