1672984320 has 288 divisors, whose sum is σ = 6173207040. Its totient is φ = 378224640.

The previous prime is 1672984319. The next prime is 1672984321. The reversal of 1672984320 is 234892761.

It is an interprime number because it is at equal distance from previous prime (1672984319) and next prime (1672984321).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1672984321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2929635 + ... + 2930205.

Almost surely, 2^1672984320 is an apocalyptic number.

1672984320 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 1672984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086603520).

1672984320 is an abundant number, since it is smaller than the sum of its proper divisors (4500222720).

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

1672984320 is a wasteful number, since it uses less digits than its factorization.

1672984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1672984320 is about 40902.1309958295. The cubic root of 1672984320 is about 1187.1272938573.

The spelling of 1672984320 in words is "one billion, six hundred seventy-two million, nine hundred eighty-four thousand, three hundred twenty".