1964520 has 128 divisors (see below), whose sum is σ = 6998400. Its totient is φ = 488448.

The previous prime is 1964483. The next prime is 1964531. The reversal of 1964520 is 254691.

1964520 is a `hidden beast` number, since 19 + 645 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18307 + ... + 18413.

It is an arithmetic number, because the mean of its divisors is an integer number (54675).

2^1964520 is an apocalyptic number.

1964520 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 1964520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499200).

1964520 is an abundant number, since it is smaller than the sum of its proper divisors (5033880).

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

1964520 is a wasteful number, since it uses less digits than its factorization.

1964520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1964520 is about 1401.6133561007. The cubic root of 1964520 is about 125.2426221048.

The spelling of 1964520 in words is "one million, nine hundred sixty-four thousand, five hundred twenty".