1953993616 has 45 divisors (see below), whose sum is σ = 3891093681. Its totient is φ = 950562816.

The previous prime is 1953993521. The next prime is 1953993619. The reversal of 1953993616 is 6163993591.

The square root of 1953993616 is 44204.

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., 1923699600 + 30294016 = 43860^2 + 5504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1953993619) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7602960 + ... + 7603216.

Almost surely, 2^1953993616 is an apocalyptic number.

1953993616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1953993616 is the 44204-th square number.

It is an amenable number.

1953993616 is a deficient number, since it is larger than the sum of its proper divisors (1937100065).

1953993616 is an frugal number, since it uses more digits than its factorization.

1953993616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 302 counting only the distinct ones).

The product of its digits is 1180980, while the sum is 52.

The cubic root of 1953993616 is about 1250.1852772832.

The spelling of 1953993616 in words is "one billion, nine hundred fifty-three million, nine hundred ninety-three thousand, six hundred sixteen".