950121536 has 224 divisors, whose sum is σ = 2494775808. Its totient is φ = 348733440.

The previous prime is 950121509. The next prime is 950121563. The reversal of 950121536 is 635121059.

It is an interprime number because it is at equal distance from previous prime (950121509) and next prime (950121563).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5491946 + ... + 5492118.

It is an arithmetic number, because the mean of its divisors is an integer number (11137392).

Almost surely, 2^950121536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 950121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247387904).

950121536 is an abundant number, since it is smaller than the sum of its proper divisors (1544654272).

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

950121536 is a wasteful number, since it uses less digits than its factorization.

950121536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 950121536 is about 30824.0415260556. The cubic root of 950121536 is about 983.0894919916.

The spelling of 950121536 in words is "nine hundred fifty million, one hundred twenty-one thousand, five hundred thirty-six".