1387660032 has 144 divisors (see below), whose sum is σ = 4476850560. Its totient is φ = 420480000.

The previous prime is 1387659991. The next prime is 1387660033. The reversal of 1387660032 is 2300667831.

It is a happy number.

1387660032 is a `hidden beast` number, since 13 + 8 + 7 + 6 + 600 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1387660033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66907 + ... + 85157.

It is an arithmetic number, because the mean of its divisors is an integer number (31089240).

Almost surely, 2^1387660032 is an apocalyptic number.

1387660032 is a gapful number since it is divisible by the number (12) 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 1387660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238425280).

1387660032 is an abundant number, since it is smaller than the sum of its proper divisors (3089190528).

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

1387660032 is a wasteful number, since it uses less digits than its factorization.

1387660032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18287 (or 18267 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1387660032 is about 37251.3091313581. The cubic root of 1387660032 is about 1115.3924314589.

The spelling of 1387660032 in words is "one billion, three hundred eighty-seven million, six hundred sixty thousand, thirty-two".