95200380 has 288 divisors, whose sum is σ = 343203840. Its totient is φ = 21859200.

The previous prime is 95200373. The next prime is 95200387. The reversal of 95200380 is 8300259.

It is an interprime number because it is at equal distance from previous prime (95200373) and next prime (95200387).

It is a super-2 number, since 2×95200380² = 18126224704288800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95200387) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2025517 + ... + 2025563.

It is an arithmetic number, because the mean of its divisors is an integer number (1191680).

Almost surely, 2^95200380 is an apocalyptic number.

95200380 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 95200380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171601920).

95200380 is an abundant number, since it is smaller than the sum of its proper divisors (248003460).

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

95200380 is a wasteful number, since it uses less digits than its factorization.

95200380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 95200380 is about 9757.0682072024. The cubic root of 95200380 is about 456.6108503243.

The spelling of 95200380 in words is "ninety-five million, two hundred thousand, three hundred eighty".