952617984 has 264 divisors, whose sum is σ = 2865636240. Its totient is φ = 280756224.

The previous prime is 952617973. The next prime is 952617989. The reversal of 952617984 is 489716259.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (952617989) 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, 25746414 + ... + 25746450.

Almost surely, 2^952617984 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 952617984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432818120).

952617984 is an abundant number, since it is smaller than the sum of its proper divisors (1913018256).

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

952617984 is a wasteful number, since it uses less digits than its factorization.

952617984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 952617984 is about 30864.5101046493. The cubic root of 952617984 is about 983.9497627865.

The spelling of 952617984 in words is "nine hundred fifty-two million, six hundred seventeen thousand, nine hundred eighty-four".