1954135560 has 128 divisors (see below), whose sum is σ = 6645744000. Its totient is φ = 455694336.

The previous prime is 1954135553. The next prime is 1954135583. The reversal of 1954135560 is 655314591.

It is a happy number.

1954135560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3325 + ... + 62604.

It is an arithmetic number, because the mean of its divisors is an integer number (51919875).

Almost surely, 2^1954135560 is an apocalyptic number.

1954135560 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 1954135560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322872000).

1954135560 is an abundant number, since it is smaller than the sum of its proper divisors (4691608440).

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

1954135560 is a wasteful number, since it uses less digits than its factorization.

1954135560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65975 (or 65971 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 1954135560 is about 44205.6055269012. The cubic root of 1954135560 is about 1250.2155489621.

The spelling of 1954135560 in words is "one billion, nine hundred fifty-four million, one hundred thirty-five thousand, five hundred sixty".