97025040 has 480 divisors, whose sum is σ = 415973376. Its totient is φ = 20528640.

The previous prime is 97025029. The next prime is 97025059. The reversal of 97025040 is 4052079.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 97024995 and 97025013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3129825 + ... + 3129855.

Almost surely, 2^97025040 is an apocalyptic number.

97025040 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 97025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207986688).

97025040 is an abundant number, since it is smaller than the sum of its proper divisors (318948336).

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

97025040 is a wasteful number, since it uses less digits than its factorization.

97025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 97025040 is about 9850.1289331663. The cubic root of 97025040 is about 459.5096223519.

The spelling of 97025040 in words is "ninety-seven million, twenty-five thousand, forty".