1238624640 has 384 divisors, whose sum is σ = 4734456480. Its totient is φ = 295895040.

The previous prime is 1238624603. The next prime is 1238624683. The reversal of 1238624640 is 464268321.

1238624640 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 6 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1238624595 and 1238624604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7159594 + ... + 7159766.

Almost surely, 2^1238624640 is an apocalyptic number.

1238624640 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 1238624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367228240).

1238624640 is an abundant number, since it is smaller than the sum of its proper divisors (3495831840).

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

1238624640 is a wasteful number, since it uses less digits than its factorization.

1238624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1238624640 is about 35194.0995054569. The cubic root of 1238624640 is about 1073.9397196799.

The spelling of 1238624640 in words is "one billion, two hundred thirty-eight million, six hundred twenty-four thousand, six hundred forty".