1638610960 has 240 divisors, whose sum is σ = 4775480064. Its totient is φ = 519450624.

The previous prime is 1638610957. The next prime is 1638610991. The reversal of 1638610960 is 690168361.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4464697 + ... + 4465063.

Almost surely, 2^1638610960 is an apocalyptic number.

1638610960 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 1638610960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387740032).

1638610960 is an abundant number, since it is smaller than the sum of its proper divisors (3136869104).

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

1638610960 is a wasteful number, since it uses less digits than its factorization.

1638610960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1638610960 is about 40479.7598807108. The cubic root of 1638610960 is about 1178.9406752635.

The spelling of 1638610960 in words is "one billion, six hundred thirty-eight million, six hundred ten thousand, nine hundred sixty".