1036415120 has 80 divisors (see below), whose sum is σ = 2607874752. Its totient is φ = 380782080.

The previous prime is 1036415119. The next prime is 1036415143. The reversal of 1036415120 is 215146301.

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

It is a super-3 number, since 3×1036415120³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 217079 + ... + 221801.

Almost surely, 2^1036415120 is an apocalyptic number.

1036415120 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 1036415120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303937376).

1036415120 is an abundant number, since it is smaller than the sum of its proper divisors (1571459632).

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

1036415120 is a wasteful number, since it uses less digits than its factorization.

1036415120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1036415120 is about 32193.4018084452. The cubic root of 1036415120 is about 1011.9939435238.

The spelling of 1036415120 in words is "one billion, thirty-six million, four hundred fifteen thousand, one hundred twenty".