1954160640 has 560 divisors, whose sum is σ = 7612197120. Its totient is φ = 477757440.

The previous prime is 1954160623. The next prime is 1954160651. The reversal of 1954160640 is 460614591.

1954160640 is a `hidden beast` number, since 1 + 9 + 5 + 4 + 1 + 6 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1954160595 and 1954160604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63037425 + ... + 63037455.

Almost surely, 2^1954160640 is an apocalyptic number.

1954160640 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 1954160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806098560).

1954160640 is an abundant number, since it is smaller than the sum of its proper divisors (5658036480).

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

1954160640 is an equidigital number, since it uses as much as digits as its factorization.

1954160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1954160640 is about 44205.8892004222. The cubic root of 1954160640 is about 1250.2208974945.

The spelling of 1954160640 in words is "one billion, nine hundred fifty-four million, one hundred sixty thousand, six hundred forty".