900051936 has 192 divisors, whose sum is σ = 2829593088. Its totient is φ = 245127168.

The previous prime is 900051931. The next prime is 900051941. The reversal of 900051936 is 639150009.

It is an interprime number because it is at equal distance from previous prime (900051931) and next prime (900051941).

It is a junction number, because it is equal to n+sod(n) for n = 900051897 and 900051906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900051931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317451 + ... + 1318133.

It is an arithmetic number, because the mean of its divisors is an integer number (14737464).

Almost surely, 2^900051936 is an apocalyptic number.

900051936 is a gapful number since it is divisible by the number (96) 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 900051936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414796544).

900051936 is an abundant number, since it is smaller than the sum of its proper divisors (1929541152).

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

900051936 is a wasteful number, since it uses less digits than its factorization.

900051936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 900051936 is about 30000.8655875126. The cubic root of 900051936 is about 965.5079559731.

The spelling of 900051936 in words is "nine hundred million, fifty-one thousand, nine hundred thirty-six".