958115664 has 120 divisors (see below), whose sum is σ = 2953016352. Its totient is φ = 287573760.

The previous prime is 958115663. The next prime is 958115701. The reversal of 958115664 is 466511859.

958115664 is a `hidden beast` number, since 9 + 5 + 81 + 1 + 566 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (958115663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166662 + ... + 172314.

Almost surely, 2^958115664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 958115664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476508176).

958115664 is an abundant number, since it is smaller than the sum of its proper divisors (1994900688).

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

958115664 is a wasteful number, since it uses less digits than its factorization.

958115664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5785 (or 5776 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 958115664 is about 30953.4434917991. The cubic root of 958115664 is about 985.8389663874.

It can be divided in two parts, 95811 and 5664, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 958115664 in words is "nine hundred fifty-eight million, one hundred fifteen thousand, six hundred sixty-four".