1387192320 has 336 divisors, whose sum is σ = 4968374112. Its totient is φ = 357826560.

The previous prime is 1387192297. The next prime is 1387192327. The reversal of 1387192320 is 232917831.

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 (1387192327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19537885 + ... + 19537955.

Almost surely, 2^1387192320 is an apocalyptic number.

1387192320 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 1387192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484187056).

1387192320 is an abundant number, since it is smaller than the sum of its proper divisors (3581181792).

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

1387192320 is an equidigital number, since it uses as much as digits as its factorization.

1387192320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1387192320 is about 37245.0308094919. The cubic root of 1387192320 is about 1115.2671027196.

The spelling of 1387192320 in words is "one billion, three hundred eighty-seven million, one hundred ninety-two thousand, three hundred twenty".