1600016640 has 144 divisors (see below), whose sum is σ = 5275286016. Its totient is φ = 412876800.

The previous prime is 1600016617. The next prime is 1600016669. The reversal of 1600016640 is 466100061.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1600016640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112320 + ... + 125760.

Almost surely, 2^1600016640 is an apocalyptic number.

1600016640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1600016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637643008).

1600016640 is an abundant number, since it is smaller than the sum of its proper divisors (3675269376).

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

1600016640 is a wasteful number, since it uses less digits than its factorization.

1600016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13496 (or 13482 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1600016640 is about 40000.2079994592. The cubic root of 1600016640 is about 1169.6111499090.

It can be divided in two parts, 16000 and 16640, that added together give a triangular number (32640 = T₂₅₅).

The spelling of 1600016640 in words is "one billion, six hundred million, sixteen thousand, six hundred forty".