97749540 has 144 divisors (see below), whose sum is σ = 353703168. Its totient is φ = 21364992.

The previous prime is 97749539. The next prime is 97749557. The reversal of 97749540 is 4594779.

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, 27294 + ... + 30666.

It is an arithmetic number, because the mean of its divisors is an integer number (2456272).

Almost surely, 2^97749540 is an apocalyptic number.

97749540 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 97749540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176851584).

97749540 is an abundant number, since it is smaller than the sum of its proper divisors (255953628).

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

97749540 is a wasteful number, since it uses less digits than its factorization.

97749540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 97749540 is about 9886.8367034153. The cubic root of 97749540 is about 460.6505288682.

It can be divided in two parts, 97749 and 540, that added together give a palindrome (98289).

The spelling of 97749540 in words is "ninety-seven million, seven hundred forty-nine thousand, five hundred forty".