1162517664 has 432 divisors, whose sum is σ = 4203710784. Its totient is φ = 274391040.

The previous prime is 1162517659. The next prime is 1162517683. The reversal of 1162517664 is 4667152611.

It is a super-2 number, since 2×1162517664² = 2702894638224033792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40086802 + ... + 40086830.

It is an arithmetic number, because the mean of its divisors is an integer number (9730812).

Almost surely, 2^1162517664 is an apocalyptic number.

1162517664 is a gapful number since it is divisible by the number (14) 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 1162517664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101855392).

1162517664 is an abundant number, since it is smaller than the sum of its proper divisors (3041193120).

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

1162517664 is a wasteful number, since it uses less digits than its factorization.

1162517664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 69 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 1162517664 is about 34095.7132789446. The cubic root of 1162517664 is about 1051.4771843522.

The spelling of 1162517664 in words is "one billion, one hundred sixty-two million, five hundred seventeen thousand, six hundred sixty-four".