1054196640 has 384 divisors, whose sum is σ = 4284887040. Its totient is φ = 237081600.

The previous prime is 1054196629. The next prime is 1054196641. The reversal of 1054196640 is 466914501.

1054196640 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 1 + 9 + 6 + 640 = 666.

It is a super-2 number, since 2×1054196640² = 2222661111574579200, which contains 22 as substring.

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 = 1054196595 and 1054196604.

It is not an unprimeable number, because it can be changed into a prime (1054196641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2146795 + ... + 2147285.

It is an arithmetic number, because the mean of its divisors is an integer number (11158560).

Almost surely, 2^1054196640 is an apocalyptic number.

1054196640 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 1054196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142443520).

1054196640 is an abundant number, since it is smaller than the sum of its proper divisors (3230690400).

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

1054196640 is a wasteful number, since it uses less digits than its factorization.

1054196640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 579 counting only the distinct ones).

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

The square root of 1054196640 is about 32468.3944783231. The cubic root of 1054196640 is about 1017.7486677594.

The spelling of 1054196640 in words is "one billion, fifty-four million, one hundred ninety-six thousand, six hundred forty".