6361920 has 126 divisors (see below), whose sum is σ = 22357842. Its totient is φ = 1660416.

The previous prime is 6361919. The next prime is 6361963. The reversal of 6361920 is 291636.

It is a happy number.

6361920 is a `hidden beast` number, since 636 + 1 + 9 + 20 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5089536 + 1272384 = 2256^2 + 1128^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 135337 + ... + 135383.

Almost surely, 2^6361920 is an apocalyptic number.

6361920 is a gapful number since it is divisible by the number (60) 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 6361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11178921).

6361920 is an abundant number, since it is smaller than the sum of its proper divisors (15995922).

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

6361920 is a wasteful number, since it uses less digits than its factorization.

6361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 6361920 is about 2522.2846786198. The cubic root of 6361920 is about 185.2945878784.

It can be divided in two parts, 636 and 1920, that added together give a triangular number (2556 = T₇₁).

The spelling of 6361920 in words is "six million, three hundred sixty-one thousand, nine hundred twenty".