1007042688 has 192 divisors, whose sum is σ = 3027098880. Its totient is φ = 320993280.

The previous prime is 1007042683. The next prime is 1007042689. The reversal of 1007042688 is 8862407001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1007042683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5820970 + ... + 5821142.

It is an arithmetic number, because the mean of its divisors is an integer number (15766140).

Almost surely, 2^1007042688 is an apocalyptic number.

1007042688 is a gapful number since it is divisible by the number (18) 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 1007042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513549440).

1007042688 is an abundant number, since it is smaller than the sum of its proper divisors (2020056192).

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

1007042688 is a wasteful number, since it uses less digits than its factorization.

1007042688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1007042688 is about 31733.9359046432. The cubic root of 1007042688 is about 1002.3420730780.

Adding to 1007042688 its reverse (8862407001), we get a palindrome (9869449689).

The spelling of 1007042688 in words is "one billion, seven million, forty-two thousand, six hundred eighty-eight".