79249536 has 128 divisors (see below), whose sum is σ = 244310400. Its totient is φ = 25242624.

The previous prime is 79249531. The next prime is 79249579. The reversal of 79249536 is 63594297.

It is a happy number.

79249536 is a `hidden beast` number, since 79 + 2 + 49 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 79249491 and 79249500.

It is not an unprimeable number, because it can be changed into a prime (79249531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78990 + ... + 79986.

It is an arithmetic number, because the mean of its divisors is an integer number (1908675).

Almost surely, 2^79249536 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 79249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122155200).

79249536 is an abundant number, since it is smaller than the sum of its proper divisors (165060864).

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

79249536 is a wasteful number, since it uses less digits than its factorization.

79249536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1025 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 79249536 is about 8902.2208465079. The cubic root of 79249536 is about 429.5353480936.

The spelling of 79249536 in words is "seventy-nine million, two hundred forty-nine thousand, five hundred thirty-six".