1977264 has 80 divisors (see below), whose sum is σ = 5952000. Its totient is φ = 627264.

The previous prime is 1977259. The next prime is 1977301. The reversal of 1977264 is 4627791.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9837 + ... + 10035.

It is an arithmetic number, because the mean of its divisors is an integer number (74400).

2^1977264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1977264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976000).

1977264 is an abundant number, since it is smaller than the sum of its proper divisors (3974736).

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

1977264 is a wasteful number, since it uses less digits than its factorization.

1977264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 1977264 is about 1406.1521965989. The cubic root of 1977264 is about 125.5128582668.

The spelling of 1977264 in words is "one million, nine hundred seventy-seven thousand, two hundred sixty-four".