97629400 has 96 divisors (see below), whose sum is σ = 249984000. Its totient is φ = 35164800.

The previous prime is 97629383. The next prime is 97629403. The reversal of 97629400 is 492679.

It is a self number, because there is not a number n which added to its sum of digits gives 97629400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97629403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437689 + ... + 437911.

It is an arithmetic number, because the mean of its divisors is an integer number (2604000).

Almost surely, 2^97629400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97629400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992000).

97629400 is an abundant number, since it is smaller than the sum of its proper divisors (152354600).

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

97629400 is a wasteful number, since it uses less digits than its factorization.

97629400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 97629400 is about 9880.7590801517. The cubic root of 97629400 is about 460.4617291967.

The spelling of 97629400 in words is "ninety-seven million, six hundred twenty-nine thousand, four hundred".