1377648 has 50 divisors (see below), whose sum is σ = 3991064. Its totient is φ = 458784.

The previous prime is 1377643. The next prime is 1377653. The reversal of 1377648 is 8467731.

1377648 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (1377643) and next prime (1377653).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377643) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 765 + ... + 1827.

2^1377648 is an apocalyptic number.

1377648 is a gapful number since it is divisible by the number (18) 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 1377648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995532).

1377648 is an abundant number, since it is smaller than the sum of its proper divisors (2613416).

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

1377648 is a wasteful number, since it uses less digits than its factorization.

1377648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1068 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 1377648 is about 1173.7325078569. The cubic root of 1377648 is about 111.2703417754.

It can be divided in two parts, 13776 and 48, that added together give a cube (13824 = 24³).

The spelling of 1377648 in words is "one million, three hundred seventy-seven thousand, six hundred forty-eight".