97746480 has 240 divisors, whose sum is σ = 368830560. Its totient is φ = 23652864.

The previous prime is 97746449. The next prime is 97746521. The reversal of 97746480 is 8464779.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1656691 + ... + 1656749.

It is an arithmetic number, because the mean of its divisors is an integer number (1536794).

Almost surely, 2^97746480 is an apocalyptic number.

97746480 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 97746480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184415280).

97746480 is an abundant number, since it is smaller than the sum of its proper divisors (271084080).

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

97746480 is a wasteful number, since it uses less digits than its factorization.

97746480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 97746480 is about 9886.6819509884. The cubic root of 97746480 is about 460.6457220073.

The spelling of 97746480 in words is "ninety-seven million, seven hundred forty-six thousand, four hundred eighty".