1541661696 has 99 divisors (see below), whose sum is σ = 4462425201. Its totient is φ = 512630784.

The previous prime is 1541661683. The next prime is 1541661701. The reversal of 1541661696 is 6961661451.

The square root of 1541661696 is 39264.

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

1541661696 is a `hidden beast` number, since 1 + 541 + 6 + 6 + 16 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1408951296 + 132710400 = 37536^2 + 11520^2 .

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, 3769140 + ... + 3769548.

Almost surely, 2^1541661696 is an apocalyptic number.

1541661696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1541661696 is the 39264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1541661696

1541661696 is an abundant number, since it is smaller than the sum of its proper divisors (2920763505).

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

1541661696 is an frugal number, since it uses more digits than its factorization.

1541661696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 414 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The cubic root of 1541661696 is about 1155.2155531806.

The spelling of 1541661696 in words is "one billion, five hundred forty-one million, six hundred sixty-one thousand, six hundred ninety-six".