952165620 has 288 divisors, whose sum is σ = 3589447680. Its totient is φ = 199376640.

The previous prime is 952165607. The next prime is 952165649. The reversal of 952165620 is 26561259.

952165620 is a `hidden beast` number, since 9 + 5 + 21 + 6 + 5 + 620 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 741499 + ... + 742781.

It is an arithmetic number, because the mean of its divisors is an integer number (12463360).

Almost surely, 2^952165620 is an apocalyptic number.

952165620 is a gapful number since it is divisible by the number (90) 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 952165620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794723840).

952165620 is an abundant number, since it is smaller than the sum of its proper divisors (2637282060).

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

952165620 is a wasteful number, since it uses less digits than its factorization.

952165620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 952165620 is about 30857.1810118812. The cubic root of 952165620 is about 983.7939906823.

The spelling of 952165620 in words is "nine hundred fifty-two million, one hundred sixty-five thousand, six hundred twenty".