1007662656 has 448 divisors, whose sum is σ = 3686860800. Its totient is φ = 239339520.

The previous prime is 1007662651. The next prime is 1007662679. The reversal of 1007662656 is 6562667001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007662651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9417355 + ... + 9417461.

It is an arithmetic number, because the mean of its divisors is an integer number (8229600).

Almost surely, 2^1007662656 is an apocalyptic number.

1007662656 is a gapful number since it is divisible by the number (16) 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 1007662656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843430400).

1007662656 is an abundant number, since it is smaller than the sum of its proper divisors (2679198144).

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

1007662656 is a wasteful number, since it uses less digits than its factorization.

1007662656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 1007662656 is about 31743.7026195748. The cubic root of 1007662656 is about 1002.5477222656.

The spelling of 1007662656 in words is "one billion, seven million, six hundred sixty-two thousand, six hundred fifty-six".