1607661440 has 512 divisors, whose sum is σ = 5393433600. Its totient is φ = 442368000.

The previous prime is 1607661439. The next prime is 1607661469. The reversal of 1607661440 is 441667061.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1607661440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15917390 + ... + 15917490.

It is an arithmetic number, because the mean of its divisors is an integer number (10534050).

Almost surely, 2^1607661440 is an apocalyptic number.

1607661440 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 1607661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696716800).

1607661440 is an abundant number, since it is smaller than the sum of its proper divisors (3785772160).

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

1607661440 is a wasteful number, since it uses less digits than its factorization.

1607661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 1607661440 is about 40095.6536297889. The cubic root of 1607661440 is about 1171.4709723187.

The spelling of 1607661440 in words is "one billion, six hundred seven million, six hundred sixty-one thousand, four hundred forty".