1007054496 has 144 divisors (see below), whose sum is σ = 3349329984. Its totient is φ = 281014272.

The previous prime is 1007054459. The next prime is 1007054527. The reversal of 1007054496 is 6944507001.

1007054496 is a `hidden beast` number, since 100 + 7 + 0 + 544 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1007054496.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 80880 + ... + 92496.

It is an arithmetic number, because the mean of its divisors is an integer number (23259236).

Almost surely, 2^1007054496 is an apocalyptic number.

1007054496 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 1007054496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674664992).

1007054496 is an abundant number, since it is smaller than the sum of its proper divisors (2342275488).

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

1007054496 is a wasteful number, since it uses less digits than its factorization.

1007054496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11683 (or 11672 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1007054496 is about 31734.1219509852. The cubic root of 1007054496 is about 1002.3459906905.

The spelling of 1007054496 in words is "one billion, seven million, fifty-four thousand, four hundred ninety-six".