97748640 has 384 divisors, whose sum is σ = 398442240. Its totient is φ = 22302720.

The previous prime is 97748639. The next prime is 97748641. The reversal of 97748640 is 4684779.

It is an interprime number because it is at equal distance from previous prime (97748639) and next prime (97748641).

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 (97748641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5749912 + ... + 5749928.

It is an arithmetic number, because the mean of its divisors is an integer number (1037610).

Almost surely, 2^97748640 is an apocalyptic number.

97748640 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 97748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199221120).

97748640 is an abundant number, since it is smaller than the sum of its proper divisors (300693600).

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

97748640 is a wasteful number, since it uses less digits than its factorization.

97748640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

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

The square root of 97748640 is about 9886.7911882471. The cubic root of 97748640 is about 460.6491150960.

The spelling of 97748640 in words is "ninety-seven million, seven hundred forty-eight thousand, six hundred forty".