1054365936 has 160 divisors (see below), whose sum is σ = 3118967040. Its totient is φ = 304238592.

The previous prime is 1054365901. The next prime is 1054365979. The reversal of 1054365936 is 6395634501.

It is a super-2 number, since 2×1054365936² = 2223375053994312192, which contains 22 as substring.

It is a congruent number.

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, 1339335 + ... + 1340121.

It is an arithmetic number, because the mean of its divisors is an integer number (19493544).

Almost surely, 2^1054365936 is an apocalyptic number.

1054365936 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 1054365936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559483520).

1054365936 is an abundant number, since it is smaller than the sum of its proper divisors (2064601104).

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

1054365936 is a wasteful number, since it uses less digits than its factorization.

1054365936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The square root of 1054365936 is about 32471.0014628437. The cubic root of 1054365936 is about 1017.8031457537.

The spelling of 1054365936 in words is "one billion, fifty-four million, three hundred sixty-five thousand, nine hundred thirty-six".