97190280 has 256 divisors, whose sum is σ = 361324800. Its totient is φ = 23328000.

The previous prime is 97190279. The next prime is 97190293. The reversal of 97190280 is 8209179.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 962230 + ... + 962330.

It is an arithmetic number, because the mean of its divisors is an integer number (1411425).

Almost surely, 2^97190280 is an apocalyptic number.

97190280 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 97190280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180662400).

97190280 is an abundant number, since it is smaller than the sum of its proper divisors (264134520).

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

97190280 is a wasteful number, since it uses less digits than its factorization.

97190280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 97190280 is about 9858.5130724669. The cubic root of 97190280 is about 459.7703327366.

The spelling of 97190280 in words is "ninety-seven million, one hundred ninety thousand, two hundred eighty".