950990040 has 864 divisors, whose sum is σ = 4393537200. Its totient is φ = 176117760.

The previous prime is 950990023. The next prime is 950990059. The reversal of 950990040 is 40099059.

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 = 950989977 and 950990004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 32792746 + ... + 32792774.

Almost surely, 2^950990040 is an apocalyptic number.

950990040 is a gapful number since it is divisible by the number (90) 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 950990040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196768600).

950990040 is an abundant number, since it is smaller than the sum of its proper divisors (3442547160).

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

950990040 is a wasteful number, since it uses less digits than its factorization.

950990040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 950990040 is about 30838.1264022314. The cubic root of 950990040 is about 983.3889474116.

The spelling of 950990040 in words is "nine hundred fifty million, nine hundred ninety thousand, forty".