6462120 has 128 divisors (see below), whose sum is σ = 22752000. Its totient is φ = 1467648.

The previous prime is 6462119. The next prime is 6462163. The reversal of 6462120 is 212646.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 41082 + ... + 41238.

It is an arithmetic number, because the mean of its divisors is an integer number (177750).

Almost surely, 2^6462120 is an apocalyptic number.

6462120 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 6462120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11376000).

6462120 is an abundant number, since it is smaller than the sum of its proper divisors (16289880).

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

6462120 is a wasteful number, since it uses less digits than its factorization.

6462120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6462120 is about 2542.0700226390. The cubic root of 6462120 is about 186.2623192008.

6462120 divided by its sum of digits (21) gives a triangular number (307720 = T₇₈₄).

Adding to 6462120 its reverse (212646), we get a palindrome (6674766).

The spelling of 6462120 in words is "six million, four hundred sixty-two thousand, one hundred twenty".