6387920 has 160 divisors (see below), whose sum is σ = 19927296. Its totient is φ = 1843200.

The previous prime is 6387919. The next prime is 6387949. The reversal of 6387920 is 297836.

6387920 = T₂₉₅ + T₂₉₆ + ... + T₃₉₉.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104690 + ... + 104750.

Almost surely, 2^6387920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6387920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963648).

6387920 is an abundant number, since it is smaller than the sum of its proper divisors (13539376).

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

6387920 is a wasteful number, since it uses less digits than its factorization.

6387920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 6387920 is about 2527.4334808260. The cubic root of 6387920 is about 185.5466664533.

It can be divided in two parts, 638 and 7920, that added together give a palindrome (8558).

The spelling of 6387920 in words is "six million, three hundred eighty-seven thousand, nine hundred twenty".