1387993320 has 320 divisors, whose sum is σ = 5614012800. Its totient is φ = 300464640.

The previous prime is 1387993307. The next prime is 1387993333. The reversal of 1387993320 is 233997831.

It is an interprime number because it is at equal distance from previous prime (1387993307) and next prime (1387993333).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 429310 + ... + 432530.

It is an arithmetic number, because the mean of its divisors is an integer number (17543790).

Almost surely, 2^1387993320 is an apocalyptic number.

1387993320 is a gapful number since it is divisible by the number (10) 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 1387993320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807006400).

1387993320 is an abundant number, since it is smaller than the sum of its proper divisors (4226019480).

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

1387993320 is a wasteful number, since it uses less digits than its factorization.

1387993320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1387993320 is about 37255.7823699892. The cubic root of 1387993320 is about 1115.4817225787.

The spelling of 1387993320 in words is "one billion, three hundred eighty-seven million, nine hundred ninety-three thousand, three hundred twenty".