1036582416 has 45 divisors (see below), whose sum is σ = 2902072719. Its totient is φ = 345398688.

The previous prime is 1036582397. The next prime is 1036582441. The reversal of 1036582416 is 6142856301.

It is a happy number.

The square root of 1036582416 is 32196.

It is a perfect power (a square), and thus also a powerful number.

1036582416 is a `hidden beast` number, since 1 + 0 + 36 + 582 + 41 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 385011 + ... + 387693.

Almost surely, 2^1036582416 is an apocalyptic number.

1036582416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1036582416 is the 32196-th square number.

It is an amenable number.

1036582416 is an abundant number, since it is smaller than the sum of its proper divisors (1865490303).

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

1036582416 is an frugal number, since it uses more digits than its factorization.

1036582416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 1036582416 is about 1012.0483919222.

Multiplying 1036582416 by its sum of digits (36), we get a square (37316966976 = 193176²).

1036582416 divided by its sum of digits (36) gives a square (28793956 = 5366²).

The spelling of 1036582416 in words is "one billion, thirty-six million, five hundred eighty-two thousand, four hundred sixteen".