1064248416 has 384 divisors, whose sum is σ = 4101995520. Its totient is φ = 259891200.

The previous prime is 1064248411. The next prime is 1064248447. The reversal of 1064248416 is 6148424601.

It is a happy number.

1064248416 is a `hidden beast` number, since 1 + 0 + 642 + 4 + 8 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×1064248416² = 2265249381917018112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064248411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130506 + ... + 1131446.

It is an arithmetic number, because the mean of its divisors is an integer number (10682280).

Almost surely, 2^1064248416 is an apocalyptic number.

1064248416 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 1064248416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050997760).

1064248416 is an abundant number, since it is smaller than the sum of its proper divisors (3037747104).

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

1064248416 is a wasteful number, since it uses less digits than its factorization.

1064248416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1064248416 is about 32622.8204789224. The cubic root of 1064248416 is about 1020.9731888258.

The spelling of 1064248416 in words is "one billion, sixty-four million, two hundred forty-eight thousand, four hundred sixteen".