1673542416 has 160 divisors (see below), whose sum is σ = 5422152960. Its totient is φ = 432986112.

The previous prime is 1673542397. The next prime is 1673542417. The reversal of 1673542416 is 6142453761.

It is a happy number.

It is a super-2 number, since 2×1673542416² = 5601488436302234112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1673542417) 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, 227890 + ... + 235118.

It is an arithmetic number, because the mean of its divisors is an integer number (33888456).

Almost surely, 2^1673542416 is an apocalyptic number.

1673542416 is a gapful number since it is divisible by the number (16) 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 1673542416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711076480).

1673542416 is an abundant number, since it is smaller than the sum of its proper divisors (3748610544).

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

1673542416 is a wasteful number, since it uses less digits than its factorization.

1673542416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7313 (or 7307 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 1673542416 is about 40908.9527609789. The cubic root of 1673542416 is about 1187.2592849999.

The spelling of 1673542416 in words is "one billion, six hundred seventy-three million, five hundred forty-two thousand, four hundred sixteen".