67500906 has 64 divisors (see below), whose sum is σ = 156764160. Its totient is φ = 19173440.

The previous prime is 67500887. The next prime is 67500949. The reversal of 67500906 is 60900576.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80035 + ... + 80873.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2^67500906 is an apocalyptic number.

67500906 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 67500906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

67500906 is an abundant number, since it is smaller than the sum of its proper divisors (89263254).

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

67500906 is a wasteful number, since it uses less digits than its factorization.

67500906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 67500906 is about 8215.8934997966. The cubic root of 67500906 is about 407.1644641569.

The spelling of 67500906 in words is "sixty-seven million, five hundred thousand, nine hundred six".