1653416080 has 40 divisors (see below), whose sum is σ = 3849309432. Its totient is φ = 660486144.

The previous prime is 1653416071. The next prime is 1653416087. The reversal of 1653416080 is 806143561.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34480384 + 1618935696 = 5872^2 + 40236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1653416087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48472 + ... + 75208.

Almost surely, 2^1653416080 is an apocalyptic number.

1653416080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1653416080 is an abundant number, since it is smaller than the sum of its proper divisors (2195893352).

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

1653416080 is a wasteful number, since it uses less digits than its factorization.

1653416080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27523 (or 27517 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1653416080 is about 40662.2193196584. The cubic root of 1653416080 is about 1182.4806761574.

The spelling of 1653416080 in words is "one billion, six hundred fifty-three million, four hundred sixteen thousand, eighty".