1672830720 has 432 divisors, whose sum is σ = 6481867392. Its totient is φ = 394813440.

The previous prime is 1672830713. The next prime is 1672830727. The reversal of 1672830720 is 270382761.

It is an interprime number because it is at equal distance from previous prime (1672830713) and next prime (1672830727).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1672830727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5448807 + ... + 5449113.

Almost surely, 2^1672830720 is an apocalyptic number.

1672830720 is a gapful number since it is divisible by the number (10) 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 1672830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240933696).

1672830720 is an abundant number, since it is smaller than the sum of its proper divisors (4809036672).

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

1672830720 is a wasteful number, since it uses less digits than its factorization.

1672830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1672830720 is about 40900.2532999491. The cubic root of 1672830720 is about 1187.0909619103.

The spelling of 1672830720 in words is "one billion, six hundred seventy-two million, eight hundred thirty thousand, seven hundred twenty".