1672354560 has 144 divisors (see below), whose sum is σ = 5359417056. Its totient is φ = 444432384.

The previous prime is 1672354547. The next prime is 1672354573. The reversal of 1672354560 is 654532761.

It is an interprime number because it is at equal distance from previous prime (1672354547) and next prime (1672354573).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1523932 + ... + 1525028.

It is an arithmetic number, because the mean of its divisors is an integer number (37218174).

Almost surely, 2^1672354560 is an apocalyptic number.

1672354560 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 1672354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679708528).

1672354560 is an abundant number, since it is smaller than the sum of its proper divisors (3687062496).

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

1672354560 is a wasteful number, since it uses less digits than its factorization.

1672354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 1672354560 is about 40894.4318948191. The cubic root of 1672354560 is about 1186.9783187390.

The spelling of 1672354560 in words is "one billion, six hundred seventy-two million, three hundred fifty-four thousand, five hundred sixty".