1054193936 has 120 divisors (see below), whose sum is σ = 2316112920. Its totient is φ = 462827520.

The previous prime is 1054193911. The next prime is 1054193947. The reversal of 1054193936 is 6393914501.

It can be written as a sum of positive squares in 4 ways, for example, as 615040000 + 439153936 = 24800^2 + 20956^2 .

It is a super-2 number, since 2×1054193936² = 2222649709398344192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054193893 and 1054193902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9671450 + ... + 9671558.

It is an arithmetic number, because the mean of its divisors is an integer number (19300941).

Almost surely, 2^1054193936 is an apocalyptic number.

1054193936 is a gapful number since it is divisible by the number (16) 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 1054193936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158056460).

1054193936 is an abundant number, since it is smaller than the sum of its proper divisors (1261918984).

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

1054193936 is a wasteful number, since it uses less digits than its factorization.

1054193936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 41.

The square root of 1054193936 is about 32468.3528378019. The cubic root of 1054193936 is about 1017.7477975881.

The spelling of 1054193936 in words is "one billion, fifty-four million, one hundred ninety-three thousand, nine hundred thirty-six".