6318480 has 80 divisors (see below), whose sum is σ = 22391424. Its totient is φ = 1443840.

The previous prime is 6318467. The next prime is 6318493. The reversal of 6318480 is 848136.

6318480 = T₄₁₆ + T₄₁₇ + ... + T₄₇₈.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6318467) and next prime (6318493).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201 + ... + 3560.

Almost surely, 2^6318480 is an apocalyptic number.

6318480 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 6318480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11195712).

6318480 is an abundant number, since it is smaller than the sum of its proper divisors (16072944).

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

6318480 is a wasteful number, since it uses less digits than its factorization.

6318480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 6318480 is about 2513.6586880482. The cubic root of 6318480 is about 184.8718859778.

The spelling of 6318480 in words is "six million, three hundred eighteen thousand, four hundred eighty".