1616406657 has 32 divisors (see below), whose sum is σ = 2266306560. Its totient is φ = 1023871680.

The previous prime is 1616406647. The next prime is 1616406677. The reversal of 1616406657 is 7566046161.

It is a happy number.

It is not a de Polignac number, because 1616406657 - 2²⁶ = 1549297793 is a prime.

It is a super-2 number, since 2×1616406657² = 5225540961587831298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1616406607) 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, 689307 + ... + 691647.

It is an arithmetic number, because the mean of its divisors is an integer number (70822080).

Almost surely, 2^1616406657 is an apocalyptic number.

It is an amenable number.

1616406657 is a deficient number, since it is larger than the sum of its proper divisors (649899903).

1616406657 is a wasteful number, since it uses less digits than its factorization.

1616406657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533.

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1616406657 is about 40204.5601518037. The cubic root of 1616406657 is about 1173.5912876504.

The spelling of 1616406657 in words is "one billion, six hundred sixteen million, four hundred six thousand, six hundred fifty-seven".