1007960034 has 32 divisors (see below), whose sum is σ = 2029547520. Its totient is φ = 333723600.

The previous prime is 1007960017. The next prime is 1007960059. The reversal of 1007960034 is 4300697001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1007959983 and 1007960010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818199 + ... + 819429.

It is an arithmetic number, because the mean of its divisors is an integer number (63423360).

Almost surely, 2^1007960034 is an apocalyptic number.

1007960034 is an abundant number, since it is smaller than the sum of its proper divisors (1021587486).

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

1007960034 is a wasteful number, since it uses less digits than its factorization.

1007960034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1007960034 is about 31748.3863211975. The cubic root of 1007960034 is about 1002.6463353981.

The spelling of 1007960034 in words is "one billion, seven million, nine hundred sixty thousand, thirty-four".