1840753216 has 63 divisors (see below), whose sum is σ = 3796319433. Its totient is φ = 885538560.

The previous prime is 1840753151. The next prime is 1840753223. The reversal of 1840753216 is 6123570481.

The square root of 1840753216 is 42904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1674446400 + 166306816 = 40920^2 + 12896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10640106 + ... + 10640278.

Almost surely, 2^1840753216 is an apocalyptic number.

1840753216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1840753216 is the 42904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1840753216

1840753216 is an abundant number, since it is smaller than the sum of its proper divisors (1955566217).

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

1840753216 is an frugal number, since it uses more digits than its factorization.

1840753216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The cubic root of 1840753216 is about 1225.5523187007.

The spelling of 1840753216 in words is "one billion, eight hundred forty million, seven hundred fifty-three thousand, two hundred sixteen".