95198400 has 252 divisors, whose sum is σ = 369731544. Its totient is φ = 23040000.

The previous prime is 95198399. The next prime is 95198401. The reversal of 95198400 is 489159.

It is an interprime number because it is at equal distance from previous prime (95198399) and next prime (95198401).

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

It is not an unprimeable number, because it can be changed into a prime (95198401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158100 + ... + 158700.

Almost surely, 2^95198400 is an apocalyptic number.

95198400 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 95198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184865772).

95198400 is an abundant number, since it is smaller than the sum of its proper divisors (274533144).

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

95198400 is a wasteful number, since it uses less digits than its factorization.

95198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 95198400 is about 9756.9667417697. The cubic root of 95198400 is about 456.6076847356.

It can be divided in two parts, 9 and 5198400, that multiplied together give a square (46785600 = 6840²).

The spelling of 95198400 in words is "ninety-five million, one hundred ninety-eight thousand, four hundred".