93649072 has 80 divisors (see below), whose sum is σ = 207120672. Its totient is φ = 40642560.

The previous prime is 93649067. The next prime is 93649079. The reversal of 93649072 is 27094639.

It is a super-2 number, since 2×93649072² = 17540297372922368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93649079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475278 + ... + 475474.

Almost surely, 2^93649072 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 93649072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103560336).

93649072 is an abundant number, since it is smaller than the sum of its proper divisors (113471600).

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

93649072 is a wasteful number, since it uses less digits than its factorization.

93649072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 93649072 is about 9677.2450625165. The cubic root of 93649072 is about 454.1170689191.

The spelling of 93649072 in words is "ninety-three million, six hundred forty-nine thousand, seventy-two".