95649120 has 192 divisors, whose sum is σ = 382717440. Its totient is φ = 21855744.

The previous prime is 95649049. The next prime is 95649131. The reversal of 95649120 is 2194659.

95649120 is a `hidden beast` number, since 9 + 5 + 649 + 1 + 2 + 0 = 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 31 ways as a sum of consecutive naturals, for example, 28659 + ... + 31821.

It is an arithmetic number, because the mean of its divisors is an integer number (1993320).

Almost surely, 2^95649120 is an apocalyptic number.

95649120 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 95649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191358720).

95649120 is an abundant number, since it is smaller than the sum of its proper divisors (287068320).

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

95649120 is a wasteful number, since it uses less digits than its factorization.

95649120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 95649120 is about 9780.0368097467. The cubic root of 95649120 is about 457.3271585741.

The spelling of 95649120 in words is "ninety-five million, six hundred forty-nine thousand, one hundred twenty".