95749920 has 432 divisors, whose sum is σ = 403341120. Its totient is φ = 20579328.

The previous prime is 95749903. The next prime is 95749921. The reversal of 95749920 is 2994759.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (95749921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1622851 + ... + 1622909.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 2^95749920 is an apocalyptic number.

95749920 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 95749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

95749920 is an abundant number, since it is smaller than the sum of its proper divisors (307591200).

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

95749920 is a wasteful number, since it uses less digits than its factorization.

95749920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 95749920 is about 9785.1888075806. The cubic root of 95749920 is about 457.4877538601.

It can be divided in two parts, 95749 and 920, that added together give a palindrome (96669).

The spelling of 95749920 in words is "ninety-five million, seven hundred forty-nine thousand, nine hundred twenty".