1038950640 has 480 divisors, whose sum is σ = 4364470656. Its totient is φ = 215654400.

The previous prime is 1038950581. The next prime is 1038950669. The reversal of 1038950640 is 460598301.

1038950640 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 9 + 5 + 0 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1038950595 and 1038950604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6617442 + ... + 6617598.

Almost surely, 2^1038950640 is an apocalyptic number.

1038950640 is a gapful number since it is divisible by the number (10) 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 1038950640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182235328).

1038950640 is an abundant number, since it is smaller than the sum of its proper divisors (3325520016).

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

1038950640 is a wasteful number, since it uses less digits than its factorization.

1038950640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1038950640 is about 32232.7572509706. The cubic root of 1038950640 is about 1012.8185298677.

The spelling of 1038950640 in words is "one billion, thirty-eight million, nine hundred fifty thousand, six hundred forty".