1007704152 has 320 divisors, whose sum is σ = 3629767680. Its totient is φ = 253870848.

The previous prime is 1007704147. The next prime is 1007704157. The reversal of 1007704152 is 2514077001.

It is an interprime number because it is at equal distance from previous prime (1007704147) and next prime (1007704157).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007704157) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1355893 + ... + 1356635.

It is an arithmetic number, because the mean of its divisors is an integer number (11343024).

Almost surely, 2^1007704152 is an apocalyptic number.

1007704152 is a gapful number since it is divisible by the number (12) 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 1007704152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814883840).

1007704152 is an abundant number, since it is smaller than the sum of its proper divisors (2622063528).

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

1007704152 is a wasteful number, since it uses less digits than its factorization.

1007704152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1007704152 is about 31744.3562227997. The cubic root of 1007704152 is about 1002.5614838649.

The spelling of 1007704152 in words is "one billion, seven million, seven hundred four thousand, one hundred fifty-two".