1937664 has 81 divisors (see below), whose sum is σ = 5786053. Its totient is φ = 623616.

The previous prime is 1937659. The next prime is 1937699. The reversal of 1937664 is 4667391.

The square root of 1937664 is 1392.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 921600 = 1008^2 + 960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 66802 + ... + 66830.

2^1937664 is an apocalyptic number.

1937664 is the 1392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1937664

1937664 is an abundant number, since it is smaller than the sum of its proper divisors (3848389).

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

1937664 is an equidigital number, since it uses as much as digits as its factorization.

1937664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 34 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The cubic root of 1937664 is about 124.6692911582.

Multiplying 1937664 by its sum of digits (36), we get a square (69755904 = 8352²).

1937664 divided by its sum of digits (36) gives a square (53824 = 232²).

It can be divided in two parts, 1937 and 664, that added together give a square (2601 = 51²).

The spelling of 1937664 in words is "one million, nine hundred thirty-seven thousand, six hundred sixty-four".