1607400960 has 320 divisors, whose sum is σ = 5727490560. Its totient is φ = 381255680.

The previous prime is 1607400959. The next prime is 1607400967. The reversal of 1607400960 is 690047061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1607400967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4477261 + ... + 4477619.

It is an arithmetic number, because the mean of its divisors is an integer number (17898408).

Almost surely, 2^1607400960 is an apocalyptic number.

1607400960 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 1607400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863745280).

1607400960 is an abundant number, since it is smaller than the sum of its proper divisors (4120089600).

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

1607400960 is a wasteful number, since it uses less digits than its factorization.

1607400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1607400960 is about 40092.4052658356. The cubic root of 1607400960 is about 1171.4077000332.

The spelling of 1607400960 in words is "one billion, six hundred seven million, four hundred thousand, nine hundred sixty".