97692480 has 140 divisors (see below), whose sum is σ = 347601540. Its totient is φ = 26044416.

The previous prime is 97692479. The next prime is 97692481. The reversal of 97692480 is 8429679.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97692479) and next prime (97692481).

It can be written as a sum of positive squares in 2 ways, for example, as 59351616 + 38340864 = 7704^2 + 6192^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97692481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24036 + ... + 27804.

Almost surely, 2^97692480 is an apocalyptic number.

97692480 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 97692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173800770).

97692480 is an abundant number, since it is smaller than the sum of its proper divisors (249909060).

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

97692480 is a wasteful number, since it uses less digits than its factorization.

97692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 97692480 is about 9883.9506271531. The cubic root of 97692480 is about 460.5608785391.

The spelling of 97692480 in words is "ninety-seven million, six hundred ninety-two thousand, four hundred eighty".