1034765680 has 80 divisors (see below), whose sum is σ = 2661017184. Its totient is φ = 371727360.

The previous prime is 1034765609. The next prime is 1034765681. The reversal of 1034765680 is 865674301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034765681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25035 + ... + 51925.

Almost surely, 2^1034765680 is an apocalyptic number.

1034765680 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 1034765680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330508592).

1034765680 is an abundant number, since it is smaller than the sum of its proper divisors (1626251504).

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

1034765680 is a wasteful number, since it uses less digits than its factorization.

1034765680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26954 (or 26948 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 1034765680 is about 32167.7739360373. The cubic root of 1034765680 is about 1011.4568004567.

The spelling of 1034765680 in words is "one billion, thirty-four million, seven hundred sixty-five thousand, six hundred eighty".