29977020 has 96 divisors (see below), whose sum is σ = 95504640. Its totient is φ = 7801920.

The previous prime is 29977019. The next prime is 29977033. The reversal of 29977020 is 2077992.

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 31 ways as a sum of consecutive naturals, for example, 22575 + ... + 23865.

It is an arithmetic number, because the mean of its divisors is an integer number (994840).

Almost surely, 2^29977020 is an apocalyptic number.

29977020 is a gapful number since it is divisible by the number (20) 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 29977020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47752320).

29977020 is an abundant number, since it is smaller than the sum of its proper divisors (65527620).

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

29977020 is a wasteful number, since it uses less digits than its factorization.

29977020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 29977020 is about 5475.1273957781. The cubic root of 29977020 is about 310.6438923258.

29977020 divided by its sum of digits (36) gives a triangular number (832695 = T₁₂₉₀).

The spelling of 29977020 in words is "twenty-nine million, nine hundred seventy-seven thousand, twenty".