1277952 has 64 divisors (see below), whose sum is σ = 3669960. Its totient is φ = 393216.

The previous prime is 1277911. The next prime is 1277957. The reversal of 1277952 is 2597721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1277952² = 3266322628608, which contains 22 as substring.

Its product of digits (8820) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1277957) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98298 + ... + 98310.

2^1277952 is an apocalyptic number.

1277952 is a gapful number since it is divisible by the number (12) 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 1277952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834980).

1277952 is an abundant number, since it is smaller than the sum of its proper divisors (2392008).

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

1277952 is an frugal number, since it uses more digits than its factorization.

1277952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 18 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 1277952 is about 1130.4653908900. The cubic root of 1277952 is about 108.5187661765.

The spelling of 1277952 in words is "one million, two hundred seventy-seven thousand, nine hundred fifty-two".