1007761136 has 20 divisors (see below), whose sum is σ = 2019867000. Its totient is φ = 486505152.

The previous prime is 1007761103. The next prime is 1007761141. The reversal of 1007761136 is 6311677001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1085486 + ... + 1086413.

It is an arithmetic number, because the mean of its divisors is an integer number (100993350).

Almost surely, 2^1007761136 is an apocalyptic number.

1007761136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1007761136 is an abundant number, since it is smaller than the sum of its proper divisors (1012105864).

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

1007761136 is a wasteful number, since it uses less digits than its factorization.

1007761136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171936 (or 2171930 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 1007761136 is about 31745.2537554829. The cubic root of 1007761136 is about 1002.5803812390.

The spelling of 1007761136 in words is "one billion, seven million, seven hundred sixty-one thousand, one hundred thirty-six".