1672991320 has 384 divisors, whose sum is σ = 5295144960. Its totient is φ = 467389440.

The previous prime is 1672991311. The next prime is 1672991323. The reversal of 1672991320 is 231992761.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1672991323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13173097 + ... + 13173223.

It is an arithmetic number, because the mean of its divisors is an integer number (13789440).

Almost surely, 2^1672991320 is an apocalyptic number.

1672991320 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 1672991320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647572480).

1672991320 is an abundant number, since it is smaller than the sum of its proper divisors (3622153640).

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

1672991320 is a wasteful number, since it uses less digits than its factorization.

1672991320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 1672991320 is about 40902.2165658537. The cubic root of 1672991320 is about 1187.1289495571.

The spelling of 1672991320 in words is "one billion, six hundred seventy-two million, nine hundred ninety-one thousand, three hundred twenty".