670348800 has 540 divisors, whose sum is σ = 2735817084. Its totient is φ = 155443200.

The previous prime is 670348771. The next prime is 670348829. The reversal of 670348800 is 8843076.

It is an interprime number because it is at equal distance from previous prime (670348771) and next prime (670348829).

It is a super-2 number, since 2×670348800² = 898735027322880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 29145589 + ... + 29145611.

Almost surely, 2^670348800 is an apocalyptic number.

670348800 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 670348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367908542).

670348800 is an abundant number, since it is smaller than the sum of its proper divisors (2065468284).

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

670348800 is a wasteful number, since it uses less digits than its factorization.

670348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 44 counting only the distinct ones).

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

The square root of 670348800 is about 25891.0949942253. The cubic root of 670348800 is about 875.1858326389.

The spelling of 670348800 in words is "six hundred seventy million, three hundred forty-eight thousand, eight hundred".