1387593648 has 120 divisors (see below), whose sum is σ = 4465214208. Its totient is φ = 394033536.

The previous prime is 1387593631. The next prime is 1387593667. The reversal of 1387593648 is 8463957831.

1387593648 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 593 + 6 + 48 = 666.

It is a super-2 number, since 2×1387593648² = 3850832263939895808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1387593594 and 1387593603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164215 + ... + 172457.

Almost surely, 2^1387593648 is an apocalyptic number.

1387593648 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 1387593648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232607104).

1387593648 is an abundant number, since it is smaller than the sum of its proper divisors (3077620560).

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

1387593648 is a wasteful number, since it uses less digits than its factorization.

1387593648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8431 (or 8422 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 1387593648 is about 37250.4180916134. The cubic root of 1387593648 is about 1115.3746448276.

The spelling of 1387593648 in words is "one billion, three hundred eighty-seven million, five hundred ninety-three thousand, six hundred forty-eight".