1387426656 has 288 divisors, whose sum is σ = 4646121984. Its totient is φ = 354816000.

The previous prime is 1387426619. The next prime is 1387426679. The reversal of 1387426656 is 6566247831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9188181 + ... + 9188331.

It is an arithmetic number, because the mean of its divisors is an integer number (16132368).

Almost surely, 2^1387426656 is an apocalyptic number.

1387426656 is a gapful number since it is divisible by the number (16) 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 1387426656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323060992).

1387426656 is an abundant number, since it is smaller than the sum of its proper divisors (3258695328).

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

1387426656 is a wasteful number, since it uses less digits than its factorization.

1387426656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 1387426656 is about 37248.1765459734. The cubic root of 1387426656 is about 1115.3298992314.

The spelling of 1387426656 in words is "one billion, three hundred eighty-seven million, four hundred twenty-six thousand, six hundred fifty-six".