97006410 has 160 divisors (see below), whose sum is σ = 281014272. Its totient is φ = 23950080.

The previous prime is 97006397. The next prime is 97006439. The reversal of 97006410 is 1460079.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 763767 + ... + 763893.

Almost surely, 2^97006410 is an apocalyptic number.

97006410 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97006410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140507136).

97006410 is an abundant number, since it is smaller than the sum of its proper divisors (184007862).

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

97006410 is a wasteful number, since it uses less digits than its factorization.

97006410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 97006410 is about 9849.1832148661. The cubic root of 97006410 is about 459.4802099712.

Adding to 97006410 its reverse (1460079), we get a palindrome (98466489).

It can be divided in two parts, 9700 and 6410, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 97006410 in words is "ninety-seven million, six thousand, four hundred ten".