670438080 has 448 divisors, whose sum is σ = 2621767680. Its totient is φ = 160247808.

The previous prime is 670438073. The next prime is 670438081. The reversal of 670438080 is 80834076.

It is a super-2 number, since 2×670438080² = 898974438228172800, which contains 22 as substring.

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 (670438081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5278977 + ... + 5279103.

It is an arithmetic number, because the mean of its divisors is an integer number (5852160).

Almost surely, 2^670438080 is an apocalyptic number.

670438080 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 670438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310883840).

670438080 is an abundant number, since it is smaller than the sum of its proper divisors (1951329600).

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

670438080 is a wasteful number, since it uses less digits than its factorization.

670438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 670438080 is about 25892.8190817454. The cubic root of 670438080 is about 875.2246846129.

The spelling of 670438080 in words is "six hundred seventy million, four hundred thirty-eight thousand, eighty".