290672064 has 140 divisors (see below), whose sum is σ = 880713504. Its totient is φ = 94749696.

The previous prime is 290672033. The next prime is 290672113. The reversal of 290672064 is 460276092.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 243052 + ... + 244244.

Almost surely, 2^290672064 is an apocalyptic number.

290672064 is a gapful number since it is divisible by the number (24) 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 290672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440356752).

290672064 is an abundant number, since it is smaller than the sum of its proper divisors (590041440).

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

290672064 is a wasteful number, since it uses less digits than its factorization.

290672064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 290672064 is about 17049.1074253170. The cubic root of 290672064 is about 662.4215178895.

The spelling of 290672064 in words is "two hundred ninety million, six hundred seventy-two thousand, sixty-four".