1616400288 has 36 divisors (see below), whose sum is σ = 4596639138. Its totient is φ = 538800000.

The previous prime is 1616400217. The next prime is 1616400301. The reversal of 1616400288 is 8820046161.

1616400288 is a `hidden beast` number, since 1 + 6 + 1 + 640 + 0 + 2 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1492122384 + 124277904 = 38628^2 + 11148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1616400288² = 5225499782092965888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2805963 + ... + 2806538.

Almost surely, 2^1616400288 is an apocalyptic number.

1616400288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1616400288 is an abundant number, since it is smaller than the sum of its proper divisors (2980238850).

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

1616400288 is a wasteful number, since it uses less digits than its factorization.

1616400288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612517 (or 5612506 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1616400288 is about 40204.4809442928. The cubic root of 1616400288 is about 1173.5897462453.

The spelling of 1616400288 in words is "one billion, six hundred sixteen million, four hundred thousand, two hundred eighty-eight".