1035997680 has 160 divisors (see below), whose sum is σ = 3510632448. Its totient is φ = 251596800.

The previous prime is 1035997679. The next prime is 1035997687. The reversal of 1035997680 is 867995301.

It is a super-3 number, since 3×1035997680³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035997687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122385 + ... + 130575.

Almost surely, 2^1035997680 is an apocalyptic number.

1035997680 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 1035997680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755316224).

1035997680 is an abundant number, since it is smaller than the sum of its proper divisors (2474634768).

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

1035997680 is a wasteful number, since it uses less digits than its factorization.

1035997680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 1035997680 is about 32186.9178393956. The cubic root of 1035997680 is about 1011.8580573417.

The spelling of 1035997680 in words is "one billion, thirty-five million, nine hundred ninety-seven thousand, six hundred eighty".