67961400 has 96 divisors (see below), whose sum is σ = 226912560. Its totient is φ = 16727040.

The previous prime is 67961363. The next prime is 67961407. The reversal of 67961400 is 416976.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67961407) 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, 3444 + ... + 12156.

Almost surely, 2^67961400 is an apocalyptic number.

67961400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113456280).

67961400 is an abundant number, since it is smaller than the sum of its proper divisors (158951160).

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

67961400 is a wasteful number, since it uses less digits than its factorization.

67961400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8745 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 67961400 is about 8243.8704502194. The cubic root of 67961400 is about 408.0882642566.

The spelling of 67961400 in words is "sixty-seven million, nine hundred sixty-one thousand, four hundred".